Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400w |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-449280000000000 = -1 · 217 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13- -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20833,1549537] |
[a1,a2,a3,a4,a6] |
j |
-781250/351 |
j-invariant |
L |
0.98719674151629 |
L(r)(E,1)/r! |
Ω |
0.49359836969898 |
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 |
62400hc1 7800f1 62400df1 |
Quadratic twists by: -4 8 5 |