Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770br |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
350 |
Product of Tamagawa factors cp |
deg |
3998400 |
Modular degree for the optimal curve |
Δ |
-2.4866279869907E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3312803,7934745187] |
[a1,a2,a3,a4,a6] |
Generators |
[-1477:98738:1] |
Generators of the group modulo torsion |
j |
-5515474655200103032041/34110123278336000000 |
j-invariant |
L |
8.1670141528969 |
L(r)(E,1)/r! |
Ω |
0.10305460350791 |
Real period |
R |
0.22642681992573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530i1 |
Quadratic twists by: -3 |