Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bp |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-2722498340625000 = -1 · 23 · 36 · 58 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11201,-2552452] |
[a1,a2,a3,a4,a6] |
Generators |
[1494:10211:8] |
Generators of the group modulo torsion |
j |
-397812414505/6969595752 |
j-invariant |
L |
5.0979768259777 |
L(r)(E,1)/r! |
Ω |
0.19536045288116 |
Real period |
R |
2.1746028733013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91350fl1 30450bv1 |
Quadratic twists by: -3 5 |