Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820b |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-2803680000 = -1 · 28 · 33 · 54 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17928,-923948] |
[a1,a2,a3,a4,a6] |
Generators |
[12226:476049:8] |
Generators of the group modulo torsion |
j |
-92196729004032/405625 |
j-invariant |
L |
6.7814701786285 |
L(r)(E,1)/r! |
Ω |
0.20629394616257 |
Real period |
R |
8.2182127650483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116820c1 |
Quadratic twists by: -3 |