Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bp |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-2.329925622255E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7066242,-7231839084] |
[a1,a2,a3,a4,a6] |
Generators |
[37512622866879:-1125186610772241:10749963743] |
Generators of the group modulo torsion |
j |
-137025597360350785/81819061632 |
j-invariant |
L |
4.0462538582392 |
L(r)(E,1)/r! |
Ω |
0.046297429184855 |
Real period |
R |
21.849236175099 |
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 |
11550cp1 34650dh1 |
Quadratic twists by: -3 5 |