Atkin-Lehner |
2- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360z |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16957440 |
Modular degree for the optimal curve |
Δ |
3.5575099149904E+22 |
Discriminant |
Eigenvalues |
2- -2 5- 4 2 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40079000,-97252347500] |
[a1,a2,a3,a4,a6] |
Generators |
[-192880210:793956565:54872] |
Generators of the group modulo torsion |
j |
1738258677522861867711001/8685326940894440000 |
j-invariant |
L |
6.5778902327113 |
L(r)(E,1)/r! |
Ω |
0.060020684942269 |
Real period |
R |
13.699215028273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170d1 |
Quadratic twists by: -4 |