Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31740b |
Isogeny class |
Conductor |
31740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-902142550437120 = -1 · 28 · 32 · 5 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1940,1444072] |
[a1,a2,a3,a4,a6] |
j |
21296/23805 |
j-invariant |
L |
0.77893244532697 |
L(r)(E,1)/r! |
Ω |
0.38946622266373 |
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 |
126960cv2 95220g2 1380a2 |
Quadratic twists by: -4 -3 -23 |