Atkin-Lehner |
11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79937f |
Isogeny class |
Conductor |
79937 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
246528 |
Modular degree for the optimal curve |
Δ |
-196726475803 = -1 · 114 · 132 · 433 |
Discriminant |
Eigenvalues |
0 2 -2 -4 11- 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41019,-3184049] |
[a1,a2,a3,a4,a6] |
Generators |
[305:3547:1] |
Generators of the group modulo torsion |
j |
-45165081751748608/1164061987 |
j-invariant |
L |
3.4986018319323 |
L(r)(E,1)/r! |
Ω |
0.16773424492405 |
Real period |
R |
1.7381671386199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79937a1 |
Quadratic twists by: 13 |