Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400ee |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-27421875000000 = -1 · 26 · 33 · 513 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6633,328887] |
[a1,a2,a3,a4,a6] |
j |
-32278933504/27421875 |
j-invariant |
L |
2.4405454698722 |
L(r)(E,1)/r! |
Ω |
0.6101363671058 |
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 |
62400cf1 15600cj1 12480dd1 |
Quadratic twists by: -4 8 5 |