Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2738c |
Isogeny class |
Conductor |
2738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-19234337489671396 = -1 · 22 · 3710 |
Discriminant |
Eigenvalues |
2- 2 1 0 2 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39045,-7319857] |
[a1,a2,a3,a4,a6] |
j |
-1369/4 |
j-invariant |
L |
5.0288074633822 |
L(r)(E,1)/r! |
Ω |
0.15715023323069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21904k1 87616n1 24642f1 68450h1 |
Quadratic twists by: -4 8 -3 5 |