Atkin-Lehner |
2- 3+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
120780a |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-53930685600000 = -1 · 28 · 33 · 55 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3303,-360802] |
[a1,a2,a3,a4,a6] |
j |
-576561586032/7802471875 |
j-invariant |
L |
1.6155636699288 |
L(r)(E,1)/r! |
Ω |
0.26926067884163 |
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 |
120780e1 |
Quadratic twists by: -3 |