Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630bb |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1785600 |
Modular degree for the optimal curve |
Δ |
-176779284526181250 = -1 · 2 · 32 · 55 · 617 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,120855,12163275] |
[a1,a2,a3,a4,a6] |
j |
3789119879/3431250 |
j-invariant |
L |
8.3780768959669 |
L(r)(E,1)/r! |
Ω |
0.20945192134575 |
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 |
1830e1 |
Quadratic twists by: 61 |