Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632m |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
355221504 = 214 · 33 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-771,-8190] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:2:1] [34:70:1] |
Generators of the group modulo torsion |
j |
458314011/3212 |
j-invariant |
L |
10.055288671245 |
L(r)(E,1)/r! |
Ω |
0.90639895385158 |
Real period |
R |
5.5468337803455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14454b1 115632q1 |
Quadratic twists by: -4 -3 |