Atkin-Lehner |
5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15925m |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-167282171875 = -1 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 0 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8983,-331306] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:7395:8] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
2.2940241467399 |
L(r)(E,1)/r! |
Ω |
0.24516353978814 |
Real period |
R |
4.6785589503281 |
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 |
637b1 2275a1 |
Quadratic twists by: 5 -7 |