Atkin-Lehner |
2+ 3+ 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35742d |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
706946665807872 = 218 · 39 · 7 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-110131,-14055059] |
[a1,a2,a3,a4,a6] |
Generators |
[-901833:1106201:4913] |
Generators of the group modulo torsion |
j |
147726572556067066297/706946665807872 |
j-invariant |
L |
2.7099049725998 |
L(r)(E,1)/r! |
Ω |
0.2621481059244 |
Real period |
R |
10.337305177331 |
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 |
107226bc1 |
Quadratic twists by: -3 |