Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450n |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1656030025125000000 = -1 · 26 · 38 · 59 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-257075,79582125] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:11501:1] [-34:9413:1] |
Generators of the group modulo torsion |
j |
-962001714767813/847887372864 |
j-invariant |
L |
5.3095503249036 |
L(r)(E,1)/r! |
Ω |
0.24348945730961 |
Real period |
R |
2.725759866346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350fe2 30450de2 |
Quadratic twists by: -3 5 |