Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430bg |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19724006250000 = 24 · 38 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42100,-3335515] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:133:1] |
Generators of the group modulo torsion |
j |
8252217089815982401/19724006250000 |
j-invariant |
L |
5.7975912285865 |
L(r)(E,1)/r! |
Ω |
0.33334301031551 |
Real period |
R |
1.0870167982334 |
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 |
115440dj4 43290s4 72150z4 |
Quadratic twists by: -4 -3 5 |