Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996b |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18385920 |
Modular degree for the optimal curve |
Δ |
-2.0918329895591E+24 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19633285,77229504289] |
[a1,a2,a3,a4,a6] |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
0.87637373472526 |
L(r)(E,1)/r! |
Ω |
0.07303118992657 |
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 |
3108a1 |
Quadratic twists by: 37 |