Atkin-Lehner |
2- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248z |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
2770637037540352 = 210 · 195 · 1033 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121469,16056275] |
[a1,a2,a3,a4,a6] |
Generators |
[182:103:1] |
Generators of the group modulo torsion |
j |
193563603802421248/2705700231973 |
j-invariant |
L |
5.1735765435379 |
L(r)(E,1)/r! |
Ω |
0.45491134456951 |
Real period |
R |
1.8954523043476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248p1 31312h1 |
Quadratic twists by: -4 8 |