Atkin-Lehner |
2- 3- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101016k |
Isogeny class |
Conductor |
101016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
785500416 = 28 · 37 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12639,-546910] |
[a1,a2,a3,a4,a6] |
Generators |
[1387:51480:1] |
Generators of the group modulo torsion |
j |
1196449465552/4209 |
j-invariant |
L |
9.3911957778441 |
L(r)(E,1)/r! |
Ω |
0.45026839875327 |
Real period |
R |
5.2142210103113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33672a1 |
Quadratic twists by: -3 |