Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72200x |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-137180000000000 = -1 · 211 · 510 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 2 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41008,-3231988] |
[a1,a2,a3,a4,a6] |
j |
-34747958/625 |
j-invariant |
L |
0.67026739722252 |
L(r)(E,1)/r! |
Ω |
0.16756684218275 |
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 |
14440b1 72200b1 |
Quadratic twists by: 5 -19 |