Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372m |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
-9.8595025949903E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2473259,201579169] |
[a1,a2,a3,a4,a6] |
Generators |
[3688:243867:1] |
Generators of the group modulo torsion |
j |
33554432/19773 |
j-invariant |
L |
5.1621347810548 |
L(r)(E,1)/r! |
Ω |
0.095045293530728 |
Real period |
R |
3.3945228798524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372bi1 7644b1 |
Quadratic twists by: -7 13 |