Atkin-Lehner |
5+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14245a |
Isogeny class |
Conductor |
14245 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
-711765846009439375 = -1 · 54 · 73 · 116 · 374 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-602914,-184755513] |
[a1,a2,a3,a4,a6] |
j |
-24237553587788779377049/711765846009439375 |
j-invariant |
L |
0.51310432746933 |
L(r)(E,1)/r! |
Ω |
0.085517387911555 |
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 |
128205z1 71225f1 99715n1 |
Quadratic twists by: -3 5 -7 |