Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bi |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-5521637376000 = -1 · 218 · 33 · 53 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2815,-96417] |
[a1,a2,a3,a4,a6] |
Generators |
[91:960:1] |
Generators of the group modulo torsion |
j |
9407293631/21063375 |
j-invariant |
L |
6.8402267334458 |
L(r)(E,1)/r! |
Ω |
0.39503982711908 |
Real period |
R |
0.96196021288939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840bz1 1185a1 |
Quadratic twists by: -4 8 |