Atkin-Lehner |
2- 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bl |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-163918080 = -1 · 28 · 35 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 1 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116,744] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
-680136784/640305 |
j-invariant |
L |
10.143987396977 |
L(r)(E,1)/r! |
Ω |
1.656650581583 |
Real period |
R |
1.2246381329142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620d1 |
Quadratic twists by: -4 |