Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12376b |
Isogeny class |
Conductor |
12376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-1911570821888 = -1 · 28 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 3 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4324,126640] |
[a1,a2,a3,a4,a6] |
j |
-34933430581072/7467073523 |
j-invariant |
L |
1.5918657770485 |
L(r)(E,1)/r! |
Ω |
0.79593288852426 |
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 |
24752b1 99008bg1 111384ci1 86632k1 |
Quadratic twists by: -4 8 -3 -7 |