Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520p |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-182658240 = -1 · 26 · 39 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 3 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,-486] |
[a1,a2,a3,a4,a6] |
Generators |
[495:243:125] |
Generators of the group modulo torsion |
j |
110592/145 |
j-invariant |
L |
7.8591999435644 |
L(r)(E,1)/r! |
Ω |
0.96022484859414 |
Real period |
R |
4.0923747994004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520dz1 1305a1 83520b1 |
Quadratic twists by: -4 8 -3 |