Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331h |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
566433 = 37 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37296,-2763005] |
[a1,a2,a3,a4,a6] |
j |
7870267657034497/777 |
j-invariant |
L |
2.7483588144363 |
L(r)(E,1)/r! |
Ω |
0.34354485180453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296bz4 777d4 58275d4 16317h4 |
Quadratic twists by: -4 -3 5 -7 |