Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450l |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5340686400000000 = 212 · 34 · 58 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-541375,153053125] |
[a1,a2,a3,a4,a6] |
Generators |
[25:11800:1] |
Generators of the group modulo torsion |
j |
1123051131566043121/341803929600 |
j-invariant |
L |
3.1569042131092 |
L(r)(E,1)/r! |
Ω |
0.42032445700374 |
Real period |
R |
1.877659127673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91350ek2 6090ba2 |
Quadratic twists by: -3 5 |