Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400eb |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-88846875000000 = -1 · 26 · 37 · 511 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280283,-57022563] |
[a1,a2,a3,a4,a6] |
j |
-2435092894982656/88846875 |
j-invariant |
L |
1.8674190973978 |
L(r)(E,1)/r! |
Ω |
0.10374550519312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400gg1 31200cc1 12480cr1 |
Quadratic twists by: -4 8 5 |