Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75348j |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
7704576 |
Modular degree for the optimal curve |
Δ |
-1.3900618847495E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25566096,-52890688055] |
[a1,a2,a3,a4,a6] |
Generators |
[6962:326439:1] |
Generators of the group modulo torsion |
j |
-158441683103908765892608/11917540164175748739 |
j-invariant |
L |
6.6800501990478 |
L(r)(E,1)/r! |
Ω |
0.033425709145565 |
Real period |
R |
5.55132425655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25116g1 |
Quadratic twists by: -3 |