Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270o |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-4004545390720 = -1 · 27 · 5 · 7 · 197 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-147476,-21811184] |
[a1,a2,a3,a4,a6] |
Generators |
[448:1220:1] |
Generators of the group modulo torsion |
j |
-7539913083529/85120 |
j-invariant |
L |
4.0490272078138 |
L(r)(E,1)/r! |
Ω |
0.12181167415244 |
Real period |
R |
2.3742899122101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350y1 1330b1 |
Quadratic twists by: 5 -19 |