Atkin-Lehner |
3+ 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34515b |
Isogeny class |
Conductor |
34515 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3179963171779875 = -1 · 39 · 53 · 135 · 592 |
Discriminant |
Eigenvalues |
2 3+ 5- -1 5 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-150957,-22737463] |
[a1,a2,a3,a4,a6] |
j |
-19328234626732032/161558866625 |
j-invariant |
L |
7.2625783467494 |
L(r)(E,1)/r! |
Ω |
0.12104297244576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34515a1 |
Quadratic twists by: -3 |