Atkin-Lehner |
3+ 5+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
95265a |
Isogeny class |
Conductor |
95265 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5208613875 = -1 · 39 · 53 · 29 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ -5 0 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,390,-1909] |
[a1,a2,a3,a4,a6] |
Generators |
[70:333:8] [10:49:1] |
Generators of the group modulo torsion |
j |
332812557/264625 |
j-invariant |
L |
10.437032609626 |
L(r)(E,1)/r! |
Ω |
0.75623476074391 |
Real period |
R |
6.9006564832515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95265b1 |
Quadratic twists by: -3 |