Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970v |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9837725719796100 = 22 · 310 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225360,-40844084] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:559:1] |
Generators of the group modulo torsion |
j |
14758408587889/114704100 |
j-invariant |
L |
3.1603896360225 |
L(r)(E,1)/r! |
Ω |
0.21922182199703 |
Real period |
R |
1.8020500924194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977905 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990bt2 10710o2 |
Quadratic twists by: -3 -7 |