Atkin-Lehner |
2- 3- 7+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918v |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
589688320 |
Modular degree for the optimal curve |
Δ |
-3.9233153858089E+27 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197314221731,33735436482381923] |
[a1,a2,a3,a4,a6] |
Generators |
[259417:2469342:1] |
Generators of the group modulo torsion |
j |
-1165390169432896335324343032151639273/5381776935266040016920576 |
j-invariant |
L |
11.247641924877 |
L(r)(E,1)/r! |
Ω |
0.029756935818635 |
Real period |
R |
1.8172301659182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33306f1 |
Quadratic twists by: -3 |