Atkin-Lehner |
2+ 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050p |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5971968 |
Modular degree for the optimal curve |
Δ |
8.0722031280128E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6100067,3867048341] |
[a1,a2,a3,a4,a6] |
j |
1606599181868028322689/516621000192819200 |
j-invariant |
L |
0.48477606778685 |
L(r)(E,1)/r! |
Ω |
0.12119422745906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22610o1 |
Quadratic twists by: 5 |