Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712g |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-155394715882881024 = -1 · 218 · 39 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108756,13005360] |
[a1,a2,a3,a4,a6] |
j |
27570978261/30116537 |
j-invariant |
L |
1.7222876810288 |
L(r)(E,1)/r! |
Ω |
0.21528600965206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dc2 1683d2 107712m2 |
Quadratic twists by: -4 8 -3 |