Atkin-Lehner |
5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
42925d |
Isogeny class |
Conductor |
42925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1151597265625 = 58 · 172 · 1012 |
Discriminant |
Eigenvalues |
-1 0 5+ -4 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4605,109772] |
[a1,a2,a3,a4,a6] |
Generators |
[-490:3433:8] [-52:480:1] |
Generators of the group modulo torsion |
j |
691041567321/73702225 |
j-invariant |
L |
5.1570667674693 |
L(r)(E,1)/r! |
Ω |
0.84151746859538 |
Real period |
R |
6.1282943728743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8585d2 |
Quadratic twists by: 5 |