Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cc |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-531468300000000 = -1 · 28 · 3 · 58 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20167,129963] |
[a1,a2,a3,a4,a6] |
j |
5120/3 |
j-invariant |
L |
2.5237688632263 |
L(r)(E,1)/r! |
Ω |
0.31547110819634 |
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 |
72600ct1 600i1 |
Quadratic twists by: 5 -11 |