Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400il |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
5677056000 = 216 · 32 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-448,308] |
[a1,a2,a3,a4,a6] |
j |
19465109/11088 |
j-invariant |
L |
4.6393072342555 |
L(r)(E,1)/r! |
Ω |
1.1598268453977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550by1 92400fe1 |
Quadratic twists by: -4 5 |