Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35378g |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-3365219719091552 = -1 · 25 · 76 · 197 |
Discriminant |
Eigenvalues |
2+ -1 4 7- 2 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,2790880] |
[a1,a2,a3,a4,a6] |
Generators |
[630:14125:8] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
4.5098233104703 |
L(r)(E,1)/r! |
Ω |
0.35518802795559 |
Real period |
R |
3.1742506472054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722c1 1862f1 |
Quadratic twists by: -7 -19 |