Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35378a |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-5276664519535553536 = -1 · 210 · 78 · 197 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -5 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-224429,117908517] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:10443:1] [233:-8961:1] |
Generators of the group modulo torsion |
j |
-4609521/19456 |
j-invariant |
L |
6.5902805245315 |
L(r)(E,1)/r! |
Ω |
0.21061841965548 |
Real period |
R |
2.6075119384594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35378f1 1862d1 |
Quadratic twists by: -7 -19 |