Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bp |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6141277800000000 = -1 · 29 · 32 · 58 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1805576,-933996202] |
[a1,a2,a3,a4,a6] |
Generators |
[37494:2428211:8] |
Generators of the group modulo torsion |
j |
-1666520467574254105/15721671168 |
j-invariant |
L |
5.0979768259777 |
L(r)(E,1)/r! |
Ω |
0.065120150960385 |
Real period |
R |
6.5238086199039 |
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 |
91350fl2 30450bv2 |
Quadratic twists by: -3 5 |