Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825w |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101088 |
Modular degree for the optimal curve |
Δ |
-314343421875 = -1 · 32 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 1 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2858,-63757] |
[a1,a2,a3,a4,a6] |
Generators |
[31754503346:100317729241:470910952] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
11.25531059035 |
L(r)(E,1)/r! |
Ω |
0.32425686842093 |
Real period |
R |
17.355546923074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2793l1 1425i1 |
Quadratic twists by: 5 -7 |