Atkin-Lehner |
3+ 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915b |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2154321464085 = 34 · 5 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37088,-2763753] |
[a1,a2,a3,a4,a6] |
j |
5642119125900778249/2154321464085 |
j-invariant |
L |
1.3761304974717 |
L(r)(E,1)/r! |
Ω |
0.34403262437119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745bj4 |
Quadratic twists by: -3 |