Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080i |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1023402240000 = 211 · 32 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14616,-683280] |
[a1,a2,a3,a4,a6] |
j |
168619996578098/499708125 |
j-invariant |
L |
3.4742198681619 |
L(r)(E,1)/r! |
Ω |
0.43427748352031 |
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 |
62160g3 93240bw4 |
Quadratic twists by: -4 -3 |