Atkin-Lehner |
2+ 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970a |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12528000 |
Modular degree for the optimal curve |
Δ |
3.7626757061136E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-192550898,985074006708] |
[a1,a2,a3,a4,a6] |
Generators |
[-4160077892313:505031330543872:377933067] |
Generators of the group modulo torsion |
j |
789514954943448433109847035689/37626757061135661268992000 |
j-invariant |
L |
1.4825439786926 |
L(r)(E,1)/r! |
Ω |
0.064143343789925 |
Real period |
R |
23.112982440518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910be1 119850ci1 |
Quadratic twists by: -3 5 |