Atkin-Lehner |
2- 3+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456bc |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-905054822571442176 = -1 · 221 · 39 · 294 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 5 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,211221,26437914] |
[a1,a2,a3,a4,a6] |
j |
12926583470709/11225964032 |
j-invariant |
L |
2.9124876116489 |
L(r)(E,1)/r! |
Ω |
0.18203058165716 |
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 |
16182j1 129456w1 |
Quadratic twists by: -4 -3 |