Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760a |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-815477082624000 = -1 · 212 · 316 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15919,-1141119] |
[a1,a2,a3,a4,a6] |
Generators |
[396897735370:-5627149781841:2708870984] |
Generators of the group modulo torsion |
j |
108914030657216/199091084625 |
j-invariant |
L |
4.0899565368815 |
L(r)(E,1)/r! |
Ω |
0.2630798706773 |
Real period |
R |
15.546444227572 |
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 |
17760j4 35520cz1 53280br2 88800cd2 |
Quadratic twists by: -4 8 -3 5 |