Atkin-Lehner |
2+ 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954h |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
53709080832 = 28 · 310 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1098,-8204] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:62:1] |
Generators of the group modulo torsion |
j |
200921157793/73675008 |
j-invariant |
L |
3.5112502209642 |
L(r)(E,1)/r! |
Ω |
0.85484832131207 |
Real period |
R |
2.0537270376206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318n1 |
Quadratic twists by: -3 |