Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690j |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77952000 |
Modular degree for the optimal curve |
Δ |
7.0482919772287E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1361038815,-14503447037619] |
[a1,a2,a3,a4,a6] |
Generators |
[-486671535912557055725546682361612:39878884866699051920855051229616731:19705386653187825018076168256] |
Generators of the group modulo torsion |
j |
764581408291686481/193273528320000 |
j-invariant |
L |
5.2925312444584 |
L(r)(E,1)/r! |
Ω |
0.025318214427226 |
Real period |
R |
52.260115535311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230ba1 75690bc1 |
Quadratic twists by: -3 29 |