Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12834h |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
4547009196 = 22 · 313 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 3 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,-925] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:19:1] |
Generators of the group modulo torsion |
j |
11867954041/6237324 |
j-invariant |
L |
7.0258516697165 |
L(r)(E,1)/r! |
Ω |
1.1131900078437 |
Real period |
R |
1.5778644301987 |
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 |
102672ch1 4278e1 |
Quadratic twists by: -4 -3 |