Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715f |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
768241977295005 = 32 · 5 · 176 · 294 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74423,-7731108] |
[a1,a2,a3,a4,a6] |
Generators |
[-390222:312969:2744] |
Generators of the group modulo torsion |
j |
1888690601881/31827645 |
j-invariant |
L |
5.821284582049 |
L(r)(E,1)/r! |
Ω |
0.2893449309829 |
Real period |
R |
10.059420859206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995079765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
435c3 |
Quadratic twists by: 17 |