Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800be |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12364800 |
Modular degree for the optimal curve |
Δ |
-1.7586534199751E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 -2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-585995250,-5459961164375] |
[a1,a2,a3,a4,a6] |
Generators |
[78126501686446487928634625627823682789222:573273606588828174105127195673195560528353:2792608614503600116372415373383478872] |
Generators of the group modulo torsion |
j |
-4884256392300674897920/3859870331907 |
j-invariant |
L |
7.263180287316 |
L(r)(E,1)/r! |
Ω |
0.01534249585048 |
Real period |
R |
59.17534831115 |
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 |
24600bl1 73800cd1 |
Quadratic twists by: -3 5 |