Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62192f |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-62439292308224 = -1 · 28 · 139 · 23 |
Discriminant |
Eigenvalues |
2+ 1 3 0 -3 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2929,-386021] |
[a1,a2,a3,a4,a6] |
Generators |
[885259636800:3967418007631:9420668928] |
Generators of the group modulo torsion |
j |
-1024/23 |
j-invariant |
L |
8.8514045754596 |
L(r)(E,1)/r! |
Ω |
0.2689951576592 |
Real period |
R |
16.452721031272 |
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 |
31096g1 62192g1 |
Quadratic twists by: -4 13 |