Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170a |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87429888 |
Modular degree for the optimal curve |
Δ |
1.7307398037307E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26292555210,1640841890294516] |
[a1,a2,a3,a4,a6] |
Generators |
[8668108141271552030254283595365148272476820:112488902461996476470605696203674351878479542:95049307656344819161615276739761860437] |
Generators of the group modulo torsion |
j |
74448907930072646555610886184913147/6410147421224960000000000000 |
j-invariant |
L |
3.7187190681055 |
L(r)(E,1)/r! |
Ω |
0.030696529711365 |
Real period |
R |
60.57230415086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170v1 |
Quadratic twists by: -3 |