Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480co |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
2232242381120 = 26 · 5 · 178 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -3 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8748415,-9956690895] |
[a1,a2,a3,a4,a6] |
Generators |
[-24349026918469632009075915676909034151516903792150376381074500647560771139593689430695346558:7244936652108338261024063807234166969000276804414641576456031574826907323064779718824337:14261409555909035712984483965019995979725326300988737828023474588648501108957451496591336] |
Generators of the group modulo torsion |
j |
165859574316544/5 |
j-invariant |
L |
12.067388516166 |
L(r)(E,1)/r! |
Ω |
0.087784371963117 |
Real period |
R |
137.46625106842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480cr1 46240y1 92480ba1 |
Quadratic twists by: -4 8 17 |