Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600bg |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-12384000 = -1 · 28 · 32 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,52,108] |
[a1,a2,a3,a4,a6] |
j |
476656/387 |
j-invariant |
L |
2.9061286911131 |
L(r)(E,1)/r! |
Ω |
1.4530643455929 |
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 |
25800e1 51600q1 |
Quadratic twists by: -4 5 |