Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400ci |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-308736000 = -1 · 212 · 32 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,832] |
[a1,a2,a3,a4,a6] |
Generators |
[2:30:1] |
Generators of the group modulo torsion |
j |
6859/603 |
j-invariant |
L |
6.4615089881623 |
L(r)(E,1)/r! |
Ω |
1.3183781749253 |
Real period |
R |
1.2252760839177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5025i1 80400dr1 |
Quadratic twists by: -4 5 |