Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68080n |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-7871750000 = -1 · 24 · 56 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 2 -1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46,4255] |
[a1,a2,a3,a4,a6] |
Generators |
[708:4625:64] |
Generators of the group modulo torsion |
j |
-687518464/491984375 |
j-invariant |
L |
8.0005615192469 |
L(r)(E,1)/r! |
Ω |
1.0632629484335 |
Real period |
R |
1.8811342788733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17020a1 |
Quadratic twists by: -4 |