Atkin-Lehner |
2- 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050ce |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
19969222656250000 = 24 · 512 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83505,6348497] |
[a1,a2,a3,a4,a6] |
j |
4121319191291289/1278030250000 |
j-invariant |
L |
2.8498734814084 |
L(r)(E,1)/r! |
Ω |
0.35623423102357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22610a2 |
Quadratic twists by: 5 |