Atkin-Lehner |
2+ 3+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30552d |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
562695104731392 = 28 · 314 · 193 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2450220,-1475418924] |
[a1,a2,a3,a4,a6] |
Generators |
[7378:618072:1] |
Generators of the group modulo torsion |
j |
6354760180030349676496/2198027752857 |
j-invariant |
L |
3.0150367440969 |
L(r)(E,1)/r! |
Ω |
0.12066971271882 |
Real period |
R |
8.3286205410484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104k2 91656t2 |
Quadratic twists by: -4 -3 |