Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450cs |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
1170 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-3.5051809488264E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13272588,-20677823208] |
[a1,a2,a3,a4,a6] |
Generators |
[4662:134694:1] |
Generators of the group modulo torsion |
j |
-16548953231297345532409/2243315807248912200 |
j-invariant |
L |
10.519494756441 |
L(r)(E,1)/r! |
Ω |
0.039252516102253 |
Real period |
R |
0.22905591926718 |
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 |
91350br1 6090b1 |
Quadratic twists by: -3 5 |