Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382j |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
294970896 = 24 · 36 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171,-203] |
[a1,a2,a3,a4,a6] |
j |
571787/304 |
j-invariant |
L |
2.8042915865997 |
L(r)(E,1)/r! |
Ω |
1.4021457933616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4598l1 41382br1 |
Quadratic twists by: -3 -11 |