Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9471c |
Isogeny class |
Conductor |
9471 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-1111953921309 = -1 · 37 · 7 · 116 · 41 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- 11- -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13726,615320] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-96:1] |
Generators of the group modulo torsion |
j |
-285994494781134049/1111953921309 |
j-invariant |
L |
2.3159279322791 |
L(r)(E,1)/r! |
Ω |
0.87451596273082 |
Real period |
R |
0.44137329124087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28413f1 66297r1 104181d1 |
Quadratic twists by: -3 -7 -11 |