Atkin-Lehner |
2+ 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270o |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9109019783160 = 23 · 36 · 5 · 11 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22119,-1252315] |
[a1,a2,a3,a4,a6] |
j |
1641737408164209/12495226040 |
j-invariant |
L |
3.1332607632459 |
L(r)(E,1)/r! |
Ω |
0.39165759154649 |
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 |
8030i4 |
Quadratic twists by: -3 |