Atkin-Lehner |
2+ 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072a |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
338432 |
Modular degree for the optimal curve |
Δ |
-351360011952 = -1 · 24 · 33 · 194 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28518,1853865] |
[a1,a2,a3,a4,a6] |
j |
-5937411637204992/813333361 |
j-invariant |
L |
7.392301074441 |
L(r)(E,1)/r! |
Ω |
0.9240375732081 |
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 |
108072h1 |
Quadratic twists by: -3 |