Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12012i |
Isogeny class |
Conductor |
12012 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
95760 |
Modular degree for the optimal curve |
Δ |
-300566400406272 = -1 · 28 · 35 · 7 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110461,-14192113] |
[a1,a2,a3,a4,a6] |
j |
-582256828038897664/1174087501587 |
j-invariant |
L |
4.582289844424 |
L(r)(E,1)/r! |
Ω |
0.13092256698354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48048bg1 36036m1 84084n1 |
Quadratic twists by: -4 -3 -7 |