Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200f |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-143750000 = -1 · 24 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-437] |
[a1,a2,a3,a4,a6] |
j |
340736/575 |
j-invariant |
L |
1.9308004590351 |
L(r)(E,1)/r! |
Ω |
0.96540022951756 |
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 |
4600b1 36800cs1 82800u1 1840a1 |
Quadratic twists by: -4 8 -3 5 |