Atkin-Lehner |
2- 5- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
31540b |
Isogeny class |
Conductor |
31540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-299630000 = -1 · 24 · 54 · 192 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -3 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,722] |
[a1,a2,a3,a4,a6] |
Generators |
[19:95:1] |
Generators of the group modulo torsion |
j |
5864013824/18726875 |
j-invariant |
L |
4.3955128982241 |
L(r)(E,1)/r! |
Ω |
1.2199870471655 |
Real period |
R |
0.15012156988458 |
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 |
126160l1 |
Quadratic twists by: -4 |