Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935p |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
21884349909345 = 3 · 5 · 77 · 116 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14946,660078] |
[a1,a2,a3,a4,a6] |
Generators |
[132:938:1] |
Generators of the group modulo torsion |
j |
1771561/105 |
j-invariant |
L |
1.9747404789471 |
L(r)(E,1)/r! |
Ω |
0.66820253562531 |
Real period |
R |
2.9553022739937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705n1 735a1 |
Quadratic twists by: -7 -11 |