Atkin-Lehner |
2+ 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534c |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1932480 |
Modular degree for the optimal curve |
Δ |
40718776177688576 = 215 · 119 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -1 -1 11+ 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-450849,116075540] |
[a1,a2,a3,a4,a6] |
j |
4298149261979/17268736 |
j-invariant |
L |
0.72867072709529 |
L(r)(E,1)/r! |
Ω |
0.36433553748457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534k1 |
Quadratic twists by: -11 |