Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350do |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-156080039062500000 = -1 · 25 · 39 · 513 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -4 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-440480,114226147] |
[a1,a2,a3,a4,a6] |
j |
-30731945295267/507500000 |
j-invariant |
L |
6.4962221394665 |
L(r)(E,1)/r! |
Ω |
0.32481111198049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350i1 18270g1 |
Quadratic twists by: -3 5 |