Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240bm |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-58620894750000 = -1 · 24 · 310 · 56 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8538,208541] |
[a1,a2,a3,a4,a6] |
Generators |
[2:475:1] |
Generators of the group modulo torsion |
j |
5901258684416/5025796875 |
j-invariant |
L |
7.0054460668069 |
L(r)(E,1)/r! |
Ω |
0.40579353266297 |
Real period |
R |
0.71931552059408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080c1 |
Quadratic twists by: -3 |