Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450b |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114763724495437500 = 22 · 32 · 56 · 73 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144825,-13638375] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1485:1] |
Generators of the group modulo torsion |
j |
21500025903924625/7344878367708 |
j-invariant |
L |
3.355318464293 |
L(r)(E,1)/r! |
Ω |
0.25152034245158 |
Real period |
R |
3.3350368717581 |
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 |
91350ee4 1218k4 |
Quadratic twists by: -3 5 |