Atkin-Lehner |
31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42439a |
Isogeny class |
Conductor |
42439 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
91229533924813 = 312 · 377 |
Discriminant |
Eigenvalues |
0 -1 2 -5 -3 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12777,317088] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:684:1] |
Generators of the group modulo torsion |
j |
89915392/35557 |
j-invariant |
L |
2.6875868232495 |
L(r)(E,1)/r! |
Ω |
0.54812291833812 |
Real period |
R |
1.2258139248151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1147a1 |
Quadratic twists by: 37 |