Atkin-Lehner |
2+ 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12654f |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-80974619544748032 = -1 · 215 · 36 · 195 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 0 3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10716,-13694896] |
[a1,a2,a3,a4,a6] |
Generators |
[665:16188:1] |
Generators of the group modulo torsion |
j |
-186688297520577/111076295671808 |
j-invariant |
L |
3.9372937449757 |
L(r)(E,1)/r! |
Ω |
0.15400665864879 |
Real period |
R |
2.5565737089035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232s1 1406g1 |
Quadratic twists by: -4 -3 |