Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350bi |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1223667506250000 = 24 · 39 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1257417,-542392259] |
[a1,a2,a3,a4,a6] |
Generators |
[1379:17873:1] |
Generators of the group modulo torsion |
j |
19302534392242249/107427600 |
j-invariant |
L |
4.6776007801077 |
L(r)(E,1)/r! |
Ω |
0.14257055873414 |
Real period |
R |
4.1011279137348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450bs1 18270ca1 |
Quadratic twists by: -3 5 |