Atkin-Lehner |
2- 3+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12972a |
Isogeny class |
Conductor |
12972 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1524292440484608 = -1 · 28 · 39 · 235 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 4 2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1845,1879281] |
[a1,a2,a3,a4,a6] |
j |
-2714614890496/5954267345643 |
j-invariant |
L |
1.1502076118144 |
L(r)(E,1)/r! |
Ω |
0.38340253727148 |
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 |
51888bc1 38916a1 |
Quadratic twists by: -4 -3 |