Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210dd |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
461575462500 = 22 · 36 · 55 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21458,-1204019] |
[a1,a2,a3,a4,a6] |
j |
29589645357/12500 |
j-invariant |
L |
0.78894284823475 |
L(r)(E,1)/r! |
Ω |
0.39447077789692 |
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 |
13690e1 123210bv1 |
Quadratic twists by: -3 37 |