Atkin-Lehner |
3- 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51615c |
Isogeny class |
Conductor |
51615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
215792766225 = 38 · 52 · 312 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1845,-20304] |
[a1,a2,a3,a4,a6] |
Generators |
[27246:1576119:8] |
Generators of the group modulo torsion |
j |
953054410321/296012025 |
j-invariant |
L |
7.3199357394807 |
L(r)(E,1)/r! |
Ω |
0.74613714644446 |
Real period |
R |
4.905221362025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17205c2 |
Quadratic twists by: -3 |