Atkin-Lehner |
2- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650x |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
15552000 |
Modular degree for the optimal curve |
Δ |
-6.8743796512E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 5 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141356888,646822112281] |
[a1,a2,a3,a4,a6] |
Generators |
[8159:187527:1] |
Generators of the group modulo torsion |
j |
-31987079927602098433225/70393647628288 |
j-invariant |
L |
13.116930662639 |
L(r)(E,1)/r! |
Ω |
0.13891388465035 |
Real period |
R |
3.1474969052705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650p1 |
Quadratic twists by: 5 |