Atkin-Lehner |
2+ 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488b |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
344832 |
Modular degree for the optimal curve |
Δ |
-31748464 = -1 · 24 · 112 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -1 3 11+ 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-382583,-91082851] |
[a1,a2,a3,a4,a6] |
j |
-387062176575393471744/1984279 |
j-invariant |
L |
1.5357077644417 |
L(r)(E,1)/r! |
Ω |
0.095981634619625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62744b1 |
Quadratic twists by: -4 |