Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312m |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3051535378415616 = 222 · 312 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37164,735280] |
[a1,a2,a3,a4,a6] |
j |
29704593673/15968016 |
j-invariant |
L |
0.78653513270258 |
L(r)(E,1)/r! |
Ω |
0.39326756635129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21312bs2 666f2 7104g2 |
Quadratic twists by: -4 8 -3 |