Atkin-Lehner |
2+ 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12978d |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-8239665337344 = -1 · 210 · 313 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2448,-145152] |
[a1,a2,a3,a4,a6] |
j |
-2226025896193/11302695936 |
j-invariant |
L |
2.4491061516593 |
L(r)(E,1)/r! |
Ω |
0.30613826895741 |
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 |
103824cl1 4326l1 90846cb1 |
Quadratic twists by: -4 -3 -7 |