Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570c |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29019150954560000 = 29 · 54 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10261674,-12653325028] |
[a1,a2,a3,a4,a6] |
j |
4950906946375997881/1202240000 |
j-invariant |
L |
0.67481542265086 |
L(r)(E,1)/r! |
Ω |
0.08435192783309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210a2 |
Quadratic twists by: 17 |