Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968b |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
84025091072 = 210 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ -2 0 0 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,14340] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-338:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
3.6611336001422 |
L(r)(E,1)/r! |
Ω |
1.0073261368216 |
Real period |
R |
0.9086266766883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22984a1 272a1 |
Quadratic twists by: -4 13 |