Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430c |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
122880874521600 = 210 · 310 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14653,420157] |
[a1,a2,a3,a4,a6] |
Generators |
[26:227:1] |
Generators of the group modulo torsion |
j |
347976303576792409/122880874521600 |
j-invariant |
L |
2.3478500860281 |
L(r)(E,1)/r! |
Ω |
0.53959470696937 |
Real period |
R |
2.1755681215025 |
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 |
115440cl1 43290br1 72150cp1 |
Quadratic twists by: -4 -3 5 |