Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050c |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22667995503125000 = 23 · 58 · 72 · 236 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71025,-809875] |
[a1,a2,a3,a4,a6] |
Generators |
[-6585:42230:27] |
Generators of the group modulo torsion |
j |
2535986675931409/1450751712200 |
j-invariant |
L |
4.1006765553099 |
L(r)(E,1)/r! |
Ω |
0.31693244723424 |
Real period |
R |
6.4693227075599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400ca2 72450ea2 1610e2 56350i2 |
Quadratic twists by: -4 -3 5 -7 |