Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240by |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-32009748480 = -1 · 217 · 36 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -3 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1827,31266] |
[a1,a2,a3,a4,a6] |
j |
-225866529/10720 |
j-invariant |
L |
4.6313124320622 |
L(r)(E,1)/r! |
Ω |
1.1578281079842 |
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 |
6030m1 5360h1 |
Quadratic twists by: -4 -3 |