Atkin-Lehner |
2+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55480c |
Isogeny class |
Conductor |
55480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2108240 = 24 · 5 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115,-510] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] [469:10165:1] |
Generators of the group modulo torsion |
j |
10603964416/131765 |
j-invariant |
L |
7.2883168605521 |
L(r)(E,1)/r! |
Ω |
1.4579318174934 |
Real period |
R |
4.9990793623551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110960f1 |
Quadratic twists by: -4 |