Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710c |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1658818857960000 = 26 · 34 · 54 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50943,3947013] |
[a1,a2,a3,a4,a6] |
j |
8253429989329/936360000 |
j-invariant |
L |
1.8327406506285 |
L(r)(E,1)/r! |
Ω |
0.45818516182728 |
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 |
510d2 |
Quadratic twists by: -11 |