Atkin-Lehner |
2+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986b |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-23075095706 = -1 · 2 · 13 · 316 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,461,-6049] |
[a1,a2,a3,a4,a6] |
Generators |
[59:451:1] [286:1779:8] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
3.7800762117334 |
L(r)(E,1)/r! |
Ω |
0.62490853719661 |
Real period |
R |
1.5122517883543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26a3 |
Quadratic twists by: -31 |