Atkin-Lehner |
2- 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950bf |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
4.9328525390625E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2839188,-1811274219] |
[a1,a2,a3,a4,a6] |
Generators |
[4705:295997:1] |
Generators of the group modulo torsion |
j |
161989232589735590521/3157025625000000 |
j-invariant |
L |
8.8864102947561 |
L(r)(E,1)/r! |
Ω |
0.11644349731149 |
Real period |
R |
3.1798005410413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990n1 |
Quadratic twists by: 5 |