Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768d |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11565312 = 28 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188,1044] |
[a1,a2,a3,a4,a6] |
Generators |
[10:8:1] |
Generators of the group modulo torsion |
j |
2885794000/45177 |
j-invariant |
L |
3.00408832468 |
L(r)(E,1)/r! |
Ω |
2.2692294930403 |
Real period |
R |
1.3238362774208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536h2 78144v2 29304h2 107448m2 |
Quadratic twists by: -4 8 -3 -11 |