Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288f |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
119078912 = 216 · 23 · 79 |
Discriminant |
Eigenvalues |
2+ -2 0 0 -2 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2433,-47009] |
[a1,a2,a3,a4,a6] |
Generators |
[99:832:1] |
Generators of the group modulo torsion |
j |
24313562500/1817 |
j-invariant |
L |
2.1192658459053 |
L(r)(E,1)/r! |
Ω |
0.67975294959396 |
Real period |
R |
3.1177000801063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116288be1 14536b1 |
Quadratic twists by: -4 8 |