Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032bq |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-95557341376 = -1 · 26 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -5 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1013,7869] |
[a1,a2,a3,a4,a6] |
Generators |
[12:147:1] [6522:186249:8] |
Generators of the group modulo torsion |
j |
15252992/12691 |
j-invariant |
L |
13.444565419824 |
L(r)(E,1)/r! |
Ω |
0.69107597143947 |
Real period |
R |
4.8636351059299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032bv1 58016s1 16576m1 |
Quadratic twists by: -4 8 -7 |