Atkin-Lehner |
3+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
80925j |
Isogeny class |
Conductor |
80925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49984 |
Modular degree for the optimal curve |
Δ |
-1213875 = -1 · 32 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2 3+ 5- 1 0 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2488,-46947] |
[a1,a2,a3,a4,a6] |
Generators |
[247304:5399039:512] |
Generators of the group modulo torsion |
j |
-13631365763072/9711 |
j-invariant |
L |
12.224331354295 |
L(r)(E,1)/r! |
Ω |
0.33798108912861 |
Real period |
R |
9.0421711041614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80925t1 |
Quadratic twists by: 5 |