Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520c |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
679503462400 = 220 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34348,-2449872] |
[a1,a2,a3,a4,a6] |
Generators |
[3256:185484:1] |
Generators of the group modulo torsion |
j |
17095749786081/2592100 |
j-invariant |
L |
5.2095158652513 |
L(r)(E,1)/r! |
Ω |
0.3506938439898 |
Real period |
R |
7.4274412774911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51520bv2 1610f2 |
Quadratic twists by: -4 8 |