Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400j |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3726143750000 = -1 · 24 · 58 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23408,-1373813] |
[a1,a2,a3,a4,a6] |
j |
-5674076449024/14904575 |
j-invariant |
L |
2.315473680412 |
L(r)(E,1)/r! |
Ω |
0.1929561394203 |
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 |
32200t1 12880c1 |
Quadratic twists by: -4 5 |