Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bo |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
8.6889886915781E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1745742,-766202299] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:11025:1] |
Generators of the group modulo torsion |
j |
50444797470919665664/7449407314453125 |
j-invariant |
L |
7.6333658094333 |
L(r)(E,1)/r! |
Ω |
0.13263959605368 |
Real period |
R |
0.57549676217411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440b1 |
Quadratic twists by: -3 |