Atkin-Lehner |
3+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18921f |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-25032483 = -1 · 34 · 73 · 17 · 53 |
Discriminant |
Eigenvalues |
0 3+ -2 7- 2 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-119,596] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:31:1] |
Generators of the group modulo torsion |
j |
-187935588352/25032483 |
j-invariant |
L |
3.2856128435149 |
L(r)(E,1)/r! |
Ω |
2.0573074738402 |
Real period |
R |
0.26617418521484 |
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 |
56763o1 |
Quadratic twists by: -3 |