Atkin-Lehner |
2+ 3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130q |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
5354416609689600 = 226 · 34 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80143,-7998142] |
[a1,a2,a3,a4,a6] |
j |
56926267396671001321/5354416609689600 |
j-invariant |
L |
2.2836802974722 |
L(r)(E,1)/r! |
Ω |
0.28546003718308 |
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 |
114390z1 |
Quadratic twists by: -3 |