Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310j |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
684000 |
Modular degree for the optimal curve |
Δ |
86518886400000 = 215 · 36 · 55 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-340290,-76318700] |
[a1,a2,a3,a4,a6] |
Generators |
[-245258246013:134709717506:726572699] |
Generators of the group modulo torsion |
j |
5977842413779959841/118681600000 |
j-invariant |
L |
3.4540070833827 |
L(r)(E,1)/r! |
Ω |
0.1976686132619 |
Real period |
R |
17.473725476114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590q1 |
Quadratic twists by: -3 |