Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974j |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
3579357120187428 = 22 · 34 · 737 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40079,1115534] |
[a1,a2,a3,a4,a6] |
j |
47045881/23652 |
j-invariant |
L |
3.1430009023999 |
L(r)(E,1)/r! |
Ω |
0.39287511279999 |
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 |
95922o1 438g1 |
Quadratic twists by: -3 73 |