Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bz |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-465010875000000 = -1 · 26 · 312 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-1037500] |
[a1,a2,a3,a4,a6] |
j |
64/5103 |
j-invariant |
L |
3.8765551585612 |
L(r)(E,1)/r! |
Ω |
0.24228469740784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400ee1 100800ii2 16800bo1 50400ed1 |
Quadratic twists by: -4 8 -3 5 |