Atkin-Lehner |
2- 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650dr |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
11424000 |
Modular degree for the optimal curve |
Δ |
5.2868121402E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50333263,137440929017] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:396949:1] |
Generators of the group modulo torsion |
j |
7220361316295966316317/27068478157824 |
j-invariant |
L |
11.981202329493 |
L(r)(E,1)/r! |
Ω |
0.17502415708588 |
Real period |
R |
1.3690912553535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127650s1 |
Quadratic twists by: 5 |