Atkin-Lehner |
2+ 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480c |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2894400 = 26 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [37:220:1] |
Generators of the group modulo torsion |
j |
11852352/1675 |
j-invariant |
L |
12.224427444564 |
L(r)(E,1)/r! |
Ω |
1.753863078082 |
Real period |
R |
3.4850005104559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480d1 96480t1 |
Quadratic twists by: -4 -3 |