Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520w |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6594560000 = 216 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13772,622064] |
[a1,a2,a3,a4,a6] |
Generators |
[70:32:1] |
Generators of the group modulo torsion |
j |
4407931365156/100625 |
j-invariant |
L |
5.191894579685 |
L(r)(E,1)/r! |
Ω |
1.2341460535596 |
Real period |
R |
1.0517180208731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520cd4 6440e4 |
Quadratic twists by: -4 8 |