Atkin-Lehner |
2- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240p |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
854848000000 = 212 · 56 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3 5- 3 1 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4912,-124816] |
[a1,a2,a3,a4,a6] |
j |
3199917920256/208703125 |
j-invariant |
L |
6.8713266865512 |
L(r)(E,1)/r! |
Ω |
0.57261055745089 |
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 |
3515b1 |
Quadratic twists by: -4 |