Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bz |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-617164800 = -1 · 212 · 3 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,1197] |
[a1,a2,a3,a4,a6] |
Generators |
[4:35:1] |
Generators of the group modulo torsion |
j |
-4096/150675 |
j-invariant |
L |
5.5293971373416 |
L(r)(E,1)/r! |
Ω |
1.2975340728292 |
Real period |
R |
1.0653664618934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4305k1 |
Quadratic twists by: -4 |