Atkin-Lehner |
3- 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99975k |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
1210634765625 = 3 · 510 · 312 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6526,195323] |
[a1,a2,a3,a4,a6] |
Generators |
[72633:29234:1331] |
Generators of the group modulo torsion |
j |
1966750311889/77480625 |
j-invariant |
L |
11.878439854691 |
L(r)(E,1)/r! |
Ω |
0.85693352769637 |
Real period |
R |
6.9307825345412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19995a1 |
Quadratic twists by: 5 |