Atkin-Lehner |
2- 3+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bt |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-3876724800000000 = -1 · 212 · 35 · 58 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32513,-3763969] |
[a1,a2,a3,a4,a6] |
j |
-9730510920625/9924415488 |
j-invariant |
L |
4.0987314104387 |
L(r)(E,1)/r! |
Ω |
0.17078048251005 |
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 |
115050u1 |
Quadratic twists by: 5 |