Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200i |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34320 |
Modular degree for the optimal curve |
Δ |
-90703923200 = -1 · 211 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 11- 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,605,13310] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
6.8632716382981 |
L(r)(E,1)/r! |
Ω |
0.76258573758867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400q1 24200bf1 200e1 |
Quadratic twists by: -4 5 -11 |