Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450k |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4912597005750000 = 24 · 34 · 56 · 73 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-735675,242542125] |
[a1,a2,a3,a4,a6] |
Generators |
[506:153:1] |
Generators of the group modulo torsion |
j |
2818140246756887473/314406208368 |
j-invariant |
L |
3.5407691584931 |
L(r)(E,1)/r! |
Ω |
0.41533991587872 |
Real period |
R |
0.35520796973827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350eq4 1218g3 |
Quadratic twists by: -3 5 |