Atkin-Lehner |
2- 5+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59450r |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-35343025000000 = -1 · 26 · 58 · 292 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5437,-240383] |
[a1,a2,a3,a4,a6] |
Generators |
[42:229:1] [46:305:1] |
Generators of the group modulo torsion |
j |
1137566234519/2261953600 |
j-invariant |
L |
9.6168934397321 |
L(r)(E,1)/r! |
Ω |
0.34030663782959 |
Real period |
R |
1.1774789227692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11890c2 |
Quadratic twists by: 5 |