Atkin-Lehner |
2- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
75152j |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
9850322944 = 221 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26752,-1675264] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:2:1] [320:4736:1] |
Generators of the group modulo torsion |
j |
516950268734593/2404864 |
j-invariant |
L |
6.7680126691 |
L(r)(E,1)/r! |
Ω |
0.37330109094936 |
Real period |
R |
4.5325427872726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394l1 |
Quadratic twists by: -4 |