Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bl |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-29933032985934848 = -1 · 210 · 72 · 1110 · 23 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- 11+ 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81436,-12218824] |
[a1,a2,a3,a4,a6] |
Generators |
[57545803369009884:1697545027906347851:59483419678656] |
Generators of the group modulo torsion |
j |
-58327458934664448/29231477525327 |
j-invariant |
L |
11.714916237692 |
L(r)(E,1)/r! |
Ω |
0.138028748687 |
Real period |
R |
21.218254075927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344de1 14168k1 |
Quadratic twists by: -4 8 |