Atkin-Lehner |
7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32879b |
Isogeny class |
Conductor |
32879 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
54144 |
Modular degree for the optimal curve |
Δ |
-22618362255643 = -1 · 77 · 112 · 613 |
Discriminant |
Eigenvalues |
0 0 -2 7- 11+ -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5194,-177760] |
[a1,a2,a3,a4,a6] |
Generators |
[644:16439:1] |
Generators of the group modulo torsion |
j |
131716841472/192252907 |
j-invariant |
L |
2.7572855887857 |
L(r)(E,1)/r! |
Ω |
0.35904251550902 |
Real period |
R |
0.63996264826666 |
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 |
4697a1 |
Quadratic twists by: -7 |