Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430d |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3989606400 = 212 · 34 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20313,1105893] |
[a1,a2,a3,a4,a6] |
Generators |
[18:855:1] |
Generators of the group modulo torsion |
j |
926999123898042649/3989606400 |
j-invariant |
L |
3.2567976477998 |
L(r)(E,1)/r! |
Ω |
1.2260684673346 |
Real period |
R |
1.3281467285754 |
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 |
115440co1 43290bu1 72150ct1 |
Quadratic twists by: -4 -3 5 |