Atkin-Lehner |
7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21413b |
Isogeny class |
Conductor |
21413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-625537262371 = -1 · 76 · 19 · 234 |
Discriminant |
Eigenvalues |
0 -2 1 7- -1 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,915,-36228] |
[a1,a2,a3,a4,a6] |
Generators |
[24:11:1] |
Generators of the group modulo torsion |
j |
719323136/5316979 |
j-invariant |
L |
2.9007521783575 |
L(r)(E,1)/r! |
Ω |
0.45418385531541 |
Real period |
R |
1.5966838893597 |
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 |
437a1 |
Quadratic twists by: -7 |