Atkin-Lehner |
2+ 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17934g |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-101590186328064 = -1 · 219 · 33 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 6 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44713,3652741] |
[a1,a2,a3,a4,a6] |
Generators |
[111:214:1] |
Generators of the group modulo torsion |
j |
-84033427451401/863502336 |
j-invariant |
L |
3.0542174607081 |
L(r)(E,1)/r! |
Ω |
0.60019115513785 |
Real period |
R |
2.5443706014017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802ch1 366c1 |
Quadratic twists by: -3 -7 |