Atkin-Lehner |
2- 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4278l |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
1942078149936 = 24 · 311 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -3 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30926,-2105125] |
[a1,a2,a3,a4,a6] |
j |
3271115240450170849/1942078149936 |
j-invariant |
L |
1.4401045129591 |
L(r)(E,1)/r! |
Ω |
0.36002612823977 |
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 |
34224bn1 12834f1 106950ba1 98394bf1 |
Quadratic twists by: -4 -3 5 -23 |