Atkin-Lehner |
2+ 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338a |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-12456892 = -1 · 22 · 7 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,58,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] [9:30:1] |
Generators of the group modulo torsion |
j |
21369234375/12456892 |
j-invariant |
L |
4.2145860751168 |
L(r)(E,1)/r! |
Ω |
1.3592315833019 |
Real period |
R |
1.5503561449331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704o1 84042bh1 65366i1 |
Quadratic twists by: -4 -3 -7 |