Atkin-Lehner |
2+ 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430h |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
7316010000 = 24 · 32 · 54 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1793,28197] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:227:1] [126:-1413:1] |
Generators of the group modulo torsion |
j |
638032776322969/7316010000 |
j-invariant |
L |
3.9791000831671 |
L(r)(E,1)/r! |
Ω |
1.3281847302487 |
Real period |
R |
0.49931559375054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440cs1 43290cd1 72150cg1 |
Quadratic twists by: -4 -3 5 |