Atkin-Lehner |
2+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270d |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
3588294500 = 22 · 53 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-388,-594] |
[a1,a2,a3,a4,a6] |
j |
6435893935801/3588294500 |
j-invariant |
L |
1.1547969292246 |
L(r)(E,1)/r! |
Ω |
1.1547969292246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
34160bb1 38430bl1 21350s1 29890e1 |
Quadratic twists by: -4 -3 5 -7 |