Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520be |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
503240264253440 = 220 · 5 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2342252,1379743664] |
[a1,a2,a3,a4,a6] |
Generators |
[25320:76076:27] |
Generators of the group modulo torsion |
j |
5421065386069310769/1919709260 |
j-invariant |
L |
6.9530085401176 |
L(r)(E,1)/r! |
Ω |
0.42266648020618 |
Real period |
R |
5.4834476399071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520cb4 1610c3 |
Quadratic twists by: -4 8 |