Atkin-Lehner |
2+ 3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40296c |
Isogeny class |
Conductor |
40296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
64156026556053504 = 211 · 32 · 23 · 736 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 6 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138504,15702444] |
[a1,a2,a3,a4,a6] |
j |
143477514110821394/31326184841823 |
j-invariant |
L |
1.3180694356292 |
L(r)(E,1)/r! |
Ω |
0.32951735891608 |
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 |
80592h2 120888h2 |
Quadratic twists by: -4 -3 |