Atkin-Lehner |
3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175d |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-291953109375 = -1 · 36 · 56 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4238,-111094] |
[a1,a2,a3,a4,a6] |
j |
-538757027353/18684999 |
j-invariant |
L |
1.1810115155353 |
L(r)(E,1)/r! |
Ω |
0.29525296880697 |
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 |
4047b1 |
Quadratic twists by: 5 |