Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136s |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1052051249426112 = -1 · 26 · 313 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16611,1325248] |
[a1,a2,a3,a4,a6] |
j |
10864344905792/22549109427 |
j-invariant |
L |
2.7229230824067 |
L(r)(E,1)/r! |
Ω |
0.34036538517089 |
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 |
71136m1 23712u1 |
Quadratic twists by: -4 -3 |