Atkin-Lehner |
2- 3+ 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630k |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
58112640000 = 210 · 34 · 54 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1625,-23065] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:58:1] |
Generators of the group modulo torsion |
j |
474570252234001/58112640000 |
j-invariant |
L |
7.3765950325002 |
L(r)(E,1)/r! |
Ω |
0.75797786301743 |
Real period |
R |
0.48659699658868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890f1 |
Quadratic twists by: -3 |