Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1624b |
Isogeny class |
Conductor |
1624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
202634872832 = 211 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35768,2615564] |
[a1,a2,a3,a4,a6] |
j |
2471097448795250/98942809 |
j-invariant |
L |
2.8233683519149 |
L(r)(E,1)/r! |
Ω |
0.94112278397164 |
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 |
3248b2 12992t2 14616o2 40600m2 |
Quadratic twists by: -4 8 -3 5 |