Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328l |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-11219691527733248 = -1 · 238 · 74 · 17 |
Discriminant |
Eigenvalues |
2- -3 -2 7+ 5 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24451,-5304446] |
[a1,a2,a3,a4,a6] |
j |
-164384733177/1140850688 |
j-invariant |
L |
1.016851908369 |
L(r)(E,1)/r! |
Ω |
0.1694753180615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666c1 53312bl1 119952eb1 13328z1 |
Quadratic twists by: -4 8 -3 -7 |