Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970v |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3289876019638670070 = 2 · 314 · 5 · 77 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-379710,22346806] |
[a1,a2,a3,a4,a6] |
Generators |
[767:13103:1] |
Generators of the group modulo torsion |
j |
70593496254289/38358689670 |
j-invariant |
L |
3.1603896360225 |
L(r)(E,1)/r! |
Ω |
0.21922182199703 |
Real period |
R |
3.6041001848387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bt3 10710o3 |
Quadratic twists by: -3 -7 |