Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ce |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
-3.6779027985188E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198931248,-1118670254928] |
[a1,a2,a3,a4,a6] |
Generators |
[1757464915101002858718:44544680932320037625625:105623929260412408] |
Generators of the group modulo torsion |
j |
-10798949077834033410048/456193409500390625 |
j-invariant |
L |
7.2394899224907 |
L(r)(E,1)/r! |
Ω |
0.020050320857548 |
Real period |
R |
30.088836540844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7245d1 115920cp1 |
Quadratic twists by: -4 -3 |