Atkin-Lehner |
2- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51262g |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2326968 |
Modular degree for the optimal curve |
Δ |
448321779430064128 = 227 · 196 · 71 |
Discriminant |
Eigenvalues |
2- -3 2 -3 -6 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-948054,-353601435] |
[a1,a2,a3,a4,a6] |
Generators |
[-535:779:1] |
Generators of the group modulo torsion |
j |
2003092024307193/9529458688 |
j-invariant |
L |
5.706052203452 |
L(r)(E,1)/r! |
Ω |
0.15304377264318 |
Real period |
R |
1.3808811893812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142e1 |
Quadratic twists by: -19 |