Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104m |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-1646312259015424 = -1 · 28 · 7 · 114 · 137 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 11- 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29519,29043] |
[a1,a2,a3,a4,a6] |
Generators |
[199:3718:1] |
Generators of the group modulo torsion |
j |
2302045184/1332331 |
j-invariant |
L |
4.6696320802663 |
L(r)(E,1)/r! |
Ω |
0.28326524966916 |
Real period |
R |
0.51515673950358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8008c1 |
Quadratic twists by: 13 |