Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350i |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-32951570852812500 = -1 · 22 · 32 · 57 · 74 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32375,-9030375] |
[a1,a2,a3,a4,a6] |
Generators |
[320:3515:1] |
Generators of the group modulo torsion |
j |
-240189477479281/2108900534580 |
j-invariant |
L |
3.2479816768039 |
L(r)(E,1)/r! |
Ω |
0.15599230542767 |
Real period |
R |
1.3013388977265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870t4 |
Quadratic twists by: 5 |