Atkin-Lehner |
2+ 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576m |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3440640284928 = 28 · 33 · 72 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6132,-163908] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:60:1] |
Generators of the group modulo torsion |
j |
99623319308368/13440001113 |
j-invariant |
L |
10.781715752393 |
L(r)(E,1)/r! |
Ω |
0.54432002868578 |
Real period |
R |
3.3012796218012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57288o1 |
Quadratic twists by: -4 |