Atkin-Lehner |
2+ 3- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706o |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-170483836936896 = -1 · 26 · 38 · 77 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -5 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42505,3427340] |
[a1,a2,a3,a4,a6] |
Generators |
[12154831539910:-64676749371754:78677849125] [-221:1538:1] |
Generators of the group modulo torsion |
j |
-8492373489794898313/170483836936896 |
j-invariant |
L |
5.6585161725339 |
L(r)(E,1)/r! |
Ω |
0.57247211686316 |
Real period |
R |
0.08825314690092 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62118bt1 |
Quadratic twists by: -3 |