Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72200p |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448704 |
Modular degree for the optimal curve |
Δ |
-4347792138496000 = -1 · 211 · 53 · 198 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -5 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11432,3141168] |
[a1,a2,a3,a4,a6] |
j |
38 |
j-invariant |
L |
0.65643221929312 |
L(r)(E,1)/r! |
Ω |
0.32821611494753 |
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 |
72200bd1 72200be1 |
Quadratic twists by: 5 -19 |