Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950s |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-451980000000000 = -1 · 211 · 36 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -5 7 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31992,2436416] |
[a1,a2,a3,a4,a6] |
j |
-508660425/63488 |
j-invariant |
L |
2.0480483579111 |
L(r)(E,1)/r! |
Ω |
0.51201208947778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600fq1 1550f1 13950cv1 |
Quadratic twists by: -4 -3 5 |