Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430be |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2705625000000 = 26 · 32 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25010,1509887] |
[a1,a2,a3,a4,a6] |
Generators |
[67:341:1] |
Generators of the group modulo torsion |
j |
1730078753010884641/2705625000000 |
j-invariant |
L |
6.8655616661189 |
L(r)(E,1)/r! |
Ω |
0.80774030884786 |
Real period |
R |
0.28332380225487 |
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 |
115440dh1 43290q1 72150x1 |
Quadratic twists by: -4 -3 5 |