Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400bc |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
400364800 = 28 · 52 · 113 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11- 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-22:1] |
Generators of the group modulo torsion |
j |
115431760/62557 |
j-invariant |
L |
3.6685850578786 |
L(r)(E,1)/r! |
Ω |
1.3738825702718 |
Real period |
R |
0.22251932633514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999178785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400r1 |
Quadratic twists by: 5 |