Atkin-Lehner |
2- 7+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14476a |
Isogeny class |
Conductor |
14476 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11448 |
Modular degree for the optimal curve |
Δ |
-2837296 = -1 · 24 · 73 · 11 · 47 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11- 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6025,-182028] |
[a1,a2,a3,a4,a6] |
Generators |
[15180220:31630408:166375] |
Generators of the group modulo torsion |
j |
-1511983191801856/177331 |
j-invariant |
L |
3.5033136228214 |
L(r)(E,1)/r! |
Ω |
0.27094072368418 |
Real period |
R |
12.930184784274 |
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 |
57904o1 101332l1 |
Quadratic twists by: -4 -7 |