Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342d |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131187635172 = 22 · 32 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47788226,127133929344] |
[a1,a2,a3,a4,a6] |
j |
6812873765474836663297/74052 |
j-invariant |
L |
0.71393409148968 |
L(r)(E,1)/r! |
Ω |
0.35696704574484 |
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 |
98736dc6 37026bi6 1122e5 |
Quadratic twists by: -4 -3 -11 |