Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11590n |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2761679687500 = -1 · 22 · 510 · 19 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3566,-114800] |
[a1,a2,a3,a4,a6] |
Generators |
[2142:33005:8] |
Generators of the group modulo torsion |
j |
-5015050843619809/2761679687500 |
j-invariant |
L |
4.2802202823042 |
L(r)(E,1)/r! |
Ω |
0.30118541571018 |
Real period |
R |
7.1056234117639 |
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 |
92720m2 104310bb2 57950l2 |
Quadratic twists by: -4 -3 5 |