Atkin-Lehner |
2+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12482d |
Isogeny class |
Conductor |
12482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
76815635944636 = 22 · 797 |
Discriminant |
Eigenvalues |
2+ -1 3 1 0 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290336,-60333932] |
[a1,a2,a3,a4,a6] |
j |
11134383337/316 |
j-invariant |
L |
1.6453748857388 |
L(r)(E,1)/r! |
Ω |
0.20567186071735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99856g1 112338w1 158d3 |
Quadratic twists by: -4 -3 -79 |