Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15640h |
Isogeny class |
Conductor |
15640 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-104501475200000 = -1 · 210 · 55 · 175 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 2 1 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11640,87100] |
[a1,a2,a3,a4,a6] |
Generators |
[30:680:1] |
Generators of the group modulo torsion |
j |
170312053494236/102052221875 |
j-invariant |
L |
4.5517158239652 |
L(r)(E,1)/r! |
Ω |
0.36489481939775 |
Real period |
R |
0.2494809781886 |
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 |
31280g1 125120s1 78200a1 |
Quadratic twists by: -4 8 5 |