Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288q |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
303104 |
Modular degree for the optimal curve |
Δ |
2738814976 = 216 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 -2 3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-418401,-104029343] |
[a1,a2,a3,a4,a6] |
Generators |
[-1259265:368:3375] |
Generators of the group modulo torsion |
j |
123601277937045604/41791 |
j-invariant |
L |
5.0222769296083 |
L(r)(E,1)/r! |
Ω |
0.18771599929783 |
Real period |
R |
3.3443319732943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288s1 14536e1 |
Quadratic twists by: -4 8 |