Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712n |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
44050868928 = 26 · 39 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10503,414180] |
[a1,a2,a3,a4,a6] |
j |
101716765632/34969 |
j-invariant |
L |
2.2341914574917 |
L(r)(E,1)/r! |
Ω |
1.1170956140853 |
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 |
107712c1 53856a2 107712i1 |
Quadratic twists by: -4 8 -3 |