Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
372b |
Isogeny class |
Conductor |
372 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
71424 = 28 · 32 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164,756] |
[a1,a2,a3,a4,a6] |
j |
1917170512/279 |
j-invariant |
L |
1.6704902289533 |
L(r)(E,1)/r! |
Ω |
3.3409804579065 |
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 |
1488i2 5952g2 1116d2 9300f2 |
Quadratic twists by: -4 8 -3 5 |