Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600cq |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-14782500000000 = -1 · 28 · 34 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 5 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62708,6026088] |
[a1,a2,a3,a4,a6] |
j |
-10908360400/5913 |
j-invariant |
L |
2.7710800505412 |
L(r)(E,1)/r! |
Ω |
0.69277006219944 |
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 |
21900c1 87600bw1 |
Quadratic twists by: -4 5 |