Atkin-Lehner |
2- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334x |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
12103304752 = 24 · 7 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-327368,-72121840] |
[a1,a2,a3,a4,a6] |
Generators |
[-2759925219118:1381827436492:8353070389] |
Generators of the group modulo torsion |
j |
2190162605289625/6832 |
j-invariant |
L |
13.071125606273 |
L(r)(E,1)/r! |
Ω |
0.19959078743128 |
Real period |
R |
16.372405979375 |
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 |
854b1 |
Quadratic twists by: -11 |