Atkin-Lehner |
2+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770b |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58800 |
Modular degree for the optimal curve |
Δ |
-4915299924640 = -1 · 25 · 5 · 78 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 1 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2980,85616] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1083:1] |
Generators of the group modulo torsion |
j |
507581991/852640 |
j-invariant |
L |
2.931183153704 |
L(r)(E,1)/r! |
Ω |
0.52598266521043 |
Real period |
R |
2.7863876013207 |
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 |
35770q1 |
Quadratic twists by: -7 |