Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
9975000000 = 26 · 3 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-740,5838] |
[a1,a2,a3,a4,a6] |
Generators |
[57:390:1] |
Generators of the group modulo torsion |
j |
701173751104/155859375 |
j-invariant |
L |
10.073298395042 |
L(r)(E,1)/r! |
Ω |
1.2158140616364 |
Real period |
R |
4.1426146863888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680eq1 63840bd3 |
Quadratic twists by: -4 8 |