Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cy |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-902132918968320 = -1 · 213 · 33 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -5 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19773,971074] |
[a1,a2,a3,a4,a6] |
Generators |
[1090:19911:8] |
Generators of the group modulo torsion |
j |
9477/10 |
j-invariant |
L |
8.3921397419534 |
L(r)(E,1)/r! |
Ω |
0.32970201841595 |
Real period |
R |
6.3634276290544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210g1 121680cl1 121680cn1 |
Quadratic twists by: -4 -3 13 |