Atkin-Lehner |
2+ 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350b |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7870464 |
Modular degree for the optimal curve |
Δ |
7.8174042980352E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6520750,-4796487500] |
[a1,a2,a3,a4,a6] |
Generators |
[1112908110583020:801684550627358090:2141700569] |
Generators of the group modulo torsion |
j |
1962440239008750340321/500313875074252800 |
j-invariant |
L |
4.0474838792853 |
L(r)(E,1)/r! |
Ω |
0.096252373091165 |
Real period |
R |
21.025371887476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470be1 |
Quadratic twists by: 5 |