Atkin-Lehner |
3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715f |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
9849600 |
Modular degree for the optimal curve |
Δ |
-3.6962957439107E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -2 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14142897,20473873220] |
[a1,a2,a3,a4,a6] |
Generators |
[-627:-170573:1] [-1572:197032:1] |
Generators of the group modulo torsion |
j |
-337851576225792/39916625 |
j-invariant |
L |
6.4517833879639 |
L(r)(E,1)/r! |
Ω |
0.19764287000047 |
Real period |
R |
0.27203036250778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715c1 5985f1 |
Quadratic twists by: -3 -19 |