Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328br |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-817868016 = -1 · 24 · 39 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,1749] |
[a1,a2,a3,a4,a6] |
Generators |
[10:27:1] |
Generators of the group modulo torsion |
j |
-1350399232/1043199 |
j-invariant |
L |
7.1023392176648 |
L(r)(E,1)/r! |
Ω |
1.4585474508953 |
Real period |
R |
0.27052558401798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656q1 62328ba1 |
Quadratic twists by: -4 -7 |