Atkin-Lehner |
2+ 3- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850bc |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
2452915200000000 = 216 · 3 · 58 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1249751,537643898] |
[a1,a2,a3,a4,a6] |
Generators |
[1427192:-1094826:2197] |
Generators of the group modulo torsion |
j |
13815724531865297761/156986572800 |
j-invariant |
L |
6.4816703541806 |
L(r)(E,1)/r! |
Ω |
0.41571607486216 |
Real period |
R |
7.7957899128782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370n1 |
Quadratic twists by: 5 |