Atkin-Lehner |
3- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49995f |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
54272 |
Modular degree for the optimal curve |
Δ |
-80850164175 = -1 · 37 · 52 · 114 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1057,3206] |
[a1,a2,a3,a4,a6] |
j |
179310732119/110905575 |
j-invariant |
L |
1.3385096339291 |
L(r)(E,1)/r! |
Ω |
0.6692548165519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16665f1 |
Quadratic twists by: -3 |