Atkin-Lehner |
2- 3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110q |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-24077790 = -1 · 2 · 33 · 5 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -7 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-101,-465] |
[a1,a2,a3,a4,a6] |
j |
-114013572049/24077790 |
j-invariant |
L |
2.2335770186397 |
L(r)(E,1)/r! |
Ω |
0.74452567287988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66330z1 110550a1 |
Quadratic twists by: -3 5 |