Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7140c |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-68125874745600 = -1 · 28 · 32 · 52 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5836,-430664] |
[a1,a2,a3,a4,a6] |
Generators |
[118:714:1] |
Generators of the group modulo torsion |
j |
-85882368051664/266116698225 |
j-invariant |
L |
3.1621596406887 |
L(r)(E,1)/r! |
Ω |
0.25209963043885 |
Real period |
R |
0.34842481777543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560dn2 114240eh2 21420t2 35700bf2 |
Quadratic twists by: -4 8 -3 5 |