Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cg |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12480000 |
Modular degree for the optimal curve |
Δ |
-1.5263261409734E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 3 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28784133,246617541] |
[a1,a2,a3,a4,a6] |
Generators |
[63793599136449:199482447235140213:9515998270871] |
Generators of the group modulo torsion |
j |
13436683/7776 |
j-invariant |
L |
5.06516030433 |
L(r)(E,1)/r! |
Ω |
0.050653905159842 |
Real period |
R |
24.998863801056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350df1 76050fm1 76050fo1 |
Quadratic twists by: -3 5 13 |