Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270h |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
979435520 = 216 · 5 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-397,2741] |
[a1,a2,a3,a4,a6] |
j |
6903498885921/979435520 |
j-invariant |
L |
3.005569741764 |
L(r)(E,1)/r! |
Ω |
1.502784870882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34160bd1 38430g1 21350g1 29890m1 |
Quadratic twists by: -4 -3 5 -7 |