Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950d |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-1.1079947522E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67803775,-214930514875] |
[a1,a2,a3,a4,a6] |
Generators |
[10121553594086:16408767950061:1064332261] |
Generators of the group modulo torsion |
j |
-382719859146912049/12300800000 |
j-invariant |
L |
4.1302892534309 |
L(r)(E,1)/r! |
Ω |
0.026306026433632 |
Real period |
R |
19.626155169479 |
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 |
15190v1 75950x1 |
Quadratic twists by: 5 -7 |