Atkin-Lehner |
2+ 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120888a |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-18502513807104 = -1 · 28 · 316 · 23 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2121,-203510] |
[a1,a2,a3,a4,a6] |
j |
5654291888/99143271 |
j-invariant |
L |
2.6847892657083 |
L(r)(E,1)/r! |
Ω |
0.33559875400643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296k1 |
Quadratic twists by: -3 |