Atkin-Lehner |
2- 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420n |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-22202504053297920 = -1 · 28 · 37 · 5 · 118 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,70235,282455] |
[a1,a2,a3,a4,a6] |
j |
149671228591898624/86728531458195 |
j-invariant |
L |
3.2038607650892 |
L(r)(E,1)/r! |
Ω |
0.22884719750637 |
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 |
97680bv1 73260r1 122100e1 |
Quadratic twists by: -4 -3 5 |