Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826p |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
76108032 |
Modular degree for the optimal curve |
Δ |
-8.0239741323261E+27 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6379080003,-196153438584927] |
[a1,a2,a3,a4,a6] |
Generators |
[4130729231:1457595832534:24389] |
Generators of the group modulo torsion |
j |
-5947545113003117669770077625/1662376558162159337472 |
j-invariant |
L |
5.8841041056734 |
L(r)(E,1)/r! |
Ω |
0.0084464217851974 |
Real period |
R |
7.9163486129652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602a1 |
Quadratic twists by: 13 |