Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370r |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
4436009388711936000 = 216 · 33 · 53 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-449502,-56638476] |
[a1,a2,a3,a4,a6] |
Generators |
[-340:7722:1] |
Generators of the group modulo torsion |
j |
85375226113731289/37705457664000 |
j-invariant |
L |
4.3571958384598 |
L(r)(E,1)/r! |
Ω |
0.1920529855144 |
Real period |
R |
3.7812445512424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910n1 |
Quadratic twists by: -7 |