Atkin-Lehner |
3- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74175u |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
2142962109375 = 3 · 58 · 23 · 433 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 2 7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4638,-99483] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-1:1] |
Generators of the group modulo torsion |
j |
28246312705/5485983 |
j-invariant |
L |
4.5675499515253 |
L(r)(E,1)/r! |
Ω |
0.5863377737254 |
Real period |
R |
2.5966545544486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175l1 |
Quadratic twists by: 5 |