Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240bh |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
8276749264080 = 24 · 38 · 5 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17418,-873907] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:99:1] |
Generators of the group modulo torsion |
j |
50103845533696/709597845 |
j-invariant |
L |
4.5897459426449 |
L(r)(E,1)/r! |
Ω |
0.41593204341169 |
Real period |
R |
1.379355719294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080f1 |
Quadratic twists by: -3 |