Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10527c |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-65440122268323 = -1 · 3 · 1110 · 292 |
Discriminant |
Eigenvalues |
2 3+ -2 -1 11- -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-63444,6184331] |
[a1,a2,a3,a4,a6] |
j |
-1088868352/2523 |
j-invariant |
L |
1.2424041237639 |
L(r)(E,1)/r! |
Ω |
0.62120206188197 |
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 |
31581q1 10527f1 |
Quadratic twists by: -3 -11 |