Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900k |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-561011244750000 = -1 · 24 · 36 · 56 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118933,15867862] |
[a1,a2,a3,a4,a6] |
Generators |
[177:575:1] [-283:5175:1] |
Generators of the group modulo torsion |
j |
-744208243621888/2244044979 |
j-invariant |
L |
8.6498233146696 |
L(r)(E,1)/r! |
Ω |
0.52011427900785 |
Real period |
R |
0.69294253075398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036g1 |
Quadratic twists by: 5 |