Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400hn |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-847987605504000000 = -1 · 234 · 35 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31233,-44366337] |
[a1,a2,a3,a4,a6] |
j |
-822656953/207028224 |
j-invariant |
L |
2.5161114427099 |
L(r)(E,1)/r! |
Ω |
0.12580557239811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400bh1 15600bd1 2496u1 |
Quadratic twists by: -4 8 5 |