Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520y |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-81574390661120 = -1 · 218 · 5 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8812,-538704] |
[a1,a2,a3,a4,a6] |
Generators |
[613080:9508812:2197] |
Generators of the group modulo torsion |
j |
-288673724529/311181605 |
j-invariant |
L |
4.8516863809482 |
L(r)(E,1)/r! |
Ω |
0.23631800638972 |
Real period |
R |
10.265164417668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520ce2 805b2 |
Quadratic twists by: -4 8 |