Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7656i |
Isogeny class |
Conductor |
7656 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2224383102830592 = -1 · 211 · 36 · 116 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23904,-1759968] |
[a1,a2,a3,a4,a6] |
j |
737542976796862/1086124561929 |
j-invariant |
L |
4.406880691603 |
L(r)(E,1)/r! |
Ω |
0.24482670508906 |
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 |
15312b2 61248k2 22968i2 84216l2 |
Quadratic twists by: -4 8 -3 -11 |