Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496ba |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-23062523904 = -1 · 212 · 33 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,-7408] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1436:1] |
Generators of the group modulo torsion |
j |
-10077696/208537 |
j-invariant |
L |
8.1160072425557 |
L(r)(E,1)/r! |
Ω |
0.51887069320377 |
Real period |
R |
3.9104189872746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496z1 124992ea1 62496d1 |
Quadratic twists by: -4 8 -3 |