Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680bc |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1800437760 = 215 · 33 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8896,-320000] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:2:1] [144:1168:1] |
Generators of the group modulo torsion |
j |
19010647320769/439560 |
j-invariant |
L |
9.2469545802295 |
L(r)(E,1)/r! |
Ω |
0.49158361102067 |
Real period |
R |
4.7026357134685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210w1 |
Quadratic twists by: -4 |