Atkin-Lehner |
2- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240o |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
590976 |
Modular degree for the optimal curve |
Δ |
-456313430867968000 = -1 · 221 · 53 · 196 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 1 3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,139800,25478000] |
[a1,a2,a3,a4,a6] |
j |
73770405696178199/111404646208000 |
j-invariant |
L |
4.8344412470202 |
L(r)(E,1)/r! |
Ω |
0.20143505199807 |
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 |
7030d1 |
Quadratic twists by: -4 |