Atkin-Lehner |
2- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55100f |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-41876000000 = -1 · 28 · 56 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,425,-9250] |
[a1,a2,a3,a4,a6] |
Generators |
[179574:5179267:216] |
Generators of the group modulo torsion |
j |
2122416/10469 |
j-invariant |
L |
10.191392806015 |
L(r)(E,1)/r! |
Ω |
0.5758163546196 |
Real period |
R |
8.8495166246424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204c1 |
Quadratic twists by: 5 |