Atkin-Lehner |
2- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17480c |
Isogeny class |
Conductor |
17480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-83030000 = -1 · 24 · 54 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 0 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116,-691] |
[a1,a2,a3,a4,a6] |
Generators |
[14:25:1] |
Generators of the group modulo torsion |
j |
-10882188544/5189375 |
j-invariant |
L |
6.1908386896425 |
L(r)(E,1)/r! |
Ω |
0.7106361822701 |
Real period |
R |
1.0889606461259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34960a1 87400d1 |
Quadratic twists by: -4 5 |