Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
5360c |
Isogeny class |
Conductor |
5360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-167500000000 = -1 · 28 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 6 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4028,100348] |
[a1,a2,a3,a4,a6] |
j |
-28232681739264/654296875 |
j-invariant |
L |
2.0362746664915 |
L(r)(E,1)/r! |
Ω |
1.0181373332457 |
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 |
2680c1 21440y1 48240w1 26800b1 |
Quadratic twists by: -4 8 -3 5 |