Atkin-Lehner |
3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10527g |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6120576 |
Modular degree for the optimal curve |
Δ |
1.4765412633211E+24 |
Discriminant |
Eigenvalues |
-2 3+ -2 1 11- -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1153854104,15086283807770] |
[a1,a2,a3,a4,a6] |
Generators |
[117071:38529472:1] |
Generators of the group modulo torsion |
j |
792565070619875179466752/6888173965235109 |
j-invariant |
L |
1.2675132297091 |
L(r)(E,1)/r! |
Ω |
0.076521402182655 |
Real period |
R |
2.7606943799495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31581h1 10527d1 |
Quadratic twists by: -3 -11 |