Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bt |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-3497040421875 = -1 · 33 · 56 · 73 · 11 · 133 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1092,-88531] |
[a1,a2,a3,a4,a6] |
Generators |
[714:6821:8] |
Generators of the group modulo torsion |
j |
9208180736/223810587 |
j-invariant |
L |
17.196470339653 |
L(r)(E,1)/r! |
Ω |
0.38318441203468 |
Real period |
R |
0.83107022214986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3003b1 |
Quadratic twists by: 5 |