Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bi |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
193697313600 = 26 · 3 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67146,-6674604] |
[a1,a2,a3,a4,a6] |
Generators |
[418:6174:1] |
Generators of the group modulo torsion |
j |
4446542056384/25725 |
j-invariant |
L |
3.071308806823 |
L(r)(E,1)/r! |
Ω |
0.29658154955073 |
Real period |
R |
2.5889243712864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23520bu1 47040hk2 70560bx1 117600dl1 |
Quadratic twists by: -4 8 -3 5 |