Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bw |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-10340352000 = -1 · 214 · 33 · 53 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1640,-25488] |
[a1,a2,a3,a4,a6] |
j |
-119168121961/2524500 |
j-invariant |
L |
2.247724210687 |
L(r)(E,1)/r! |
Ω |
0.37462070178542 |
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 |
5610q1 |
Quadratic twists by: -4 |