Atkin-Lehner |
2- 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29574i |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-9505320192 = -1 · 28 · 36 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254,5005] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-65:1] |
Generators of the group modulo torsion |
j |
-2476813977/13038848 |
j-invariant |
L |
8.8932007883336 |
L(r)(E,1)/r! |
Ω |
1.1211105471581 |
Real period |
R |
0.49578076905959 |
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 |
3286c1 |
Quadratic twists by: -3 |