Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450f |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-278276650312500 = -1 · 22 · 32 · 57 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12875,974625] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:551:1] [-105:1140:1] |
Generators of the group modulo torsion |
j |
-15107691357361/17809705620 |
j-invariant |
L |
5.418300635586 |
L(r)(E,1)/r! |
Ω |
0.49755931986952 |
Real period |
R |
0.22686996049233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350ez2 6090y2 |
Quadratic twists by: -3 5 |