Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608l |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1306830307328 = -1 · 219 · 73 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ 3 13+ 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4480,-129356] |
[a1,a2,a3,a4,a6] |
Generators |
[348:6370:1] |
Generators of the group modulo torsion |
j |
-2428257525121/319050368 |
j-invariant |
L |
4.6166364681309 |
L(r)(E,1)/r! |
Ω |
0.28964893832521 |
Real period |
R |
3.984682711505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826j1 |
Quadratic twists by: -4 |