Atkin-Lehner |
3+ 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915b |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
838515647025 = 38 · 52 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2663,-30408] |
[a1,a2,a3,a4,a6] |
j |
2089738800141049/838515647025 |
j-invariant |
L |
1.3761304974717 |
L(r)(E,1)/r! |
Ω |
0.68806524874237 |
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 |
101745bj2 |
Quadratic twists by: -3 |