Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bu |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
1868141104009528320 = 210 · 37 · 5 · 72 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2732296,1735977353] |
[a1,a2,a3,a4,a6] |
j |
15238420194810961/12619514880 |
j-invariant |
L |
2.6172478785315 |
L(r)(E,1)/r! |
Ω |
0.26172486919952 |
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 |
4830x1 |
Quadratic twists by: -23 |