Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338w |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2496000 |
Modular degree for the optimal curve |
Δ |
55998598603639644 = 22 · 36 · 797 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2613029,1626403137] |
[a1,a2,a3,a4,a6] |
j |
11134383337/316 |
j-invariant |
L |
2.627318062782 |
L(r)(E,1)/r! |
Ω |
0.32841477624891 |
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 |
12482d1 1422i1 |
Quadratic twists by: -3 -79 |