Atkin-Lehner |
2- 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bf |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
80646158628 = 22 · 38 · 73 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2300,40763] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1853:8] |
Generators of the group modulo torsion |
j |
1845026709625/110625732 |
j-invariant |
L |
9.6057081998376 |
L(r)(E,1)/r! |
Ω |
1.0656100114887 |
Real period |
R |
2.2535702781564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134l1 |
Quadratic twists by: -3 |