Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8880l |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
157129113600000 = 224 · 34 · 55 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3122216,-2122411920] |
[a1,a2,a3,a4,a6] |
j |
821774646379511057449/38361600000 |
j-invariant |
L |
0.22715055576146 |
L(r)(E,1)/r! |
Ω |
0.11357527788073 |
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 |
1110f1 35520dd1 26640bv1 44400cv1 |
Quadratic twists by: -4 8 -3 5 |