Atkin-Lehner |
3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565f |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
-210078309375 = -1 · 34 · 55 · 112 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,610,21530] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:619:8] [-12:118:1] |
Generators of the group modulo torsion |
j |
3659383421/30628125 |
j-invariant |
L |
5.3914979738748 |
L(r)(E,1)/r! |
Ω |
0.73120130113509 |
Real period |
R |
0.73734797319401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59565r1 |
Quadratic twists by: -19 |