Atkin-Lehner |
2+ 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048c |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
-252144 = -1 · 24 · 32 · 17 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -1 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4096,-102277] |
[a1,a2,a3,a4,a6] |
Generators |
[2084293:3009111351:1] |
Generators of the group modulo torsion |
j |
-475104996753664/15759 |
j-invariant |
L |
8.6828535470339 |
L(r)(E,1)/r! |
Ω |
0.29838070501773 |
Real period |
R |
14.549958155504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42024a1 |
Quadratic twists by: -4 |