Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280h |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
1076480000 = 211 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -4 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:20:1] [-9:30:1] |
Generators of the group modulo torsion |
j |
1414562/625 |
j-invariant |
L |
6.8122511422332 |
L(r)(E,1)/r! |
Ω |
1.2153426380911 |
Real period |
R |
0.35032564730958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33640c1 67280i1 |
Quadratic twists by: -4 29 |