Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992i |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
737737797888 = 28 · 35 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7852,267232] |
[a1,a2,a3,a4,a6] |
Generators |
[25508:102360:343] |
Generators of the group modulo torsion |
j |
209160623835088/2881788273 |
j-invariant |
L |
6.6266300958593 |
L(r)(E,1)/r! |
Ω |
0.90334939561003 |
Real period |
R |
7.3356224332507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496o1 |
Quadratic twists by: -4 |