Atkin-Lehner |
2+ 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650i |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-26617222485000000 = -1 · 26 · 315 · 57 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16025,-7894875] |
[a1,a2,a3,a4,a6] |
j |
-29129977246609/1703502239040 |
j-invariant |
L |
1.320821176906 |
L(r)(E,1)/r! |
Ω |
0.1651026471909 |
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 |
11130bb1 |
Quadratic twists by: 5 |