Atkin-Lehner |
3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10527i |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30624 |
Modular degree for the optimal curve |
Δ |
5949102024393 = 3 · 119 · 292 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12950,-555997] |
[a1,a2,a3,a4,a6] |
Generators |
[-98578827220:-77405370009:1643032000] |
Generators of the group modulo torsion |
j |
101847563/2523 |
j-invariant |
L |
6.5241695122159 |
L(r)(E,1)/r! |
Ω |
0.44822080003451 |
Real period |
R |
14.555704491433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31581c1 10527h1 |
Quadratic twists by: -3 -11 |