Atkin-Lehner |
3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265j |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-809856524209095 = -1 · 32 · 5 · 117 · 314 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37512,-3129309] |
[a1,a2,a3,a4,a6] |
j |
-3295310559841/457142895 |
j-invariant |
L |
1.3617010166428 |
L(r)(E,1)/r! |
Ω |
0.17021262717223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115c1 |
Quadratic twists by: -11 |