Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400fx |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-128318860800000000 = -1 · 215 · 33 · 58 · 135 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31167,-17114463] |
[a1,a2,a3,a4,a6] |
j |
261568120/10024911 |
j-invariant |
L |
1.5838512858203 |
L(r)(E,1)/r! |
Ω |
0.15838512870612 |
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 |
62400if1 31200ci1 62400gr1 |
Quadratic twists by: -4 8 5 |