Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bm |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-1479723520337786880 = -1 · 211 · 311 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243867,-74658454] |
[a1,a2,a3,a4,a6] |
Generators |
[8450:232713:8] |
Generators of the group modulo torsion |
j |
-1316978/1215 |
j-invariant |
L |
6.7543133124249 |
L(r)(E,1)/r! |
Ω |
0.10348146928616 |
Real period |
R |
2.719614617443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000172189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840bu1 40560c1 121680r1 |
Quadratic twists by: -4 -3 13 |