Atkin-Lehner |
3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825t |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6336000 |
Modular degree for the optimal curve |
Δ |
1213570365598828125 = 311 · 58 · 72 · 713 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 3 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61515680,-185691006178] |
[a1,a2,a3,a4,a6] |
j |
90405245485658051545/4261646277 |
j-invariant |
L |
0.64689475166694 |
L(r)(E,1)/r! |
Ω |
0.053907985040989 |
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 |
37275j1 111825d1 |
Quadratic twists by: -3 5 |