Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113498a |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
296375161177172 = 22 · 7 · 119 · 672 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200621,-34593660] |
[a1,a2,a3,a4,a6] |
Generators |
[-32120:26911:125] |
Generators of the group modulo torsion |
j |
378717702875/125692 |
j-invariant |
L |
3.3966045594142 |
L(r)(E,1)/r! |
Ω |
0.22558715457745 |
Real period |
R |
7.5283642263202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113498t2 |
Quadratic twists by: -11 |