Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690m |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14476800 |
Modular degree for the optimal curve |
Δ |
-1.2099195059787E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -5 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157075830,757767064180] |
[a1,a2,a3,a4,a6] |
Generators |
[7073:20453:1] |
Generators of the group modulo torsion |
j |
-1175277148105921/3317760 |
j-invariant |
L |
1.6021286601175 |
L(r)(E,1)/r! |
Ω |
0.1336098038368 |
Real period |
R |
5.995550527937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230w1 75690bi1 |
Quadratic twists by: -3 29 |