Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336cc |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
91346833525948416 = 214 · 321 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146609,15932463] |
[a1,a2,a3,a4,a6] |
Generators |
[331:1944:1] |
Generators of the group modulo torsion |
j |
21271035361447888/5575368257199 |
j-invariant |
L |
10.981543165663 |
L(r)(E,1)/r! |
Ω |
0.31698901377498 |
Real period |
R |
0.41242015003492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336c1 25584r1 |
Quadratic twists by: -4 8 |