Atkin-Lehner |
2+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120032a |
Isogeny class |
Conductor |
120032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-843771431489536 = -1 · 212 · 118 · 312 |
Discriminant |
Eigenvalues |
2+ 0 -3 -4 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5324,-1405536] |
[a1,a2,a3,a4,a6] |
Generators |
[968:-30008:1] [242:3388:1] |
Generators of the group modulo torsion |
j |
-19008/961 |
j-invariant |
L |
7.5221539642837 |
L(r)(E,1)/r! |
Ω |
0.21964706327107 |
Real period |
R |
1.4269395513426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120032h1 120032g1 |
Quadratic twists by: -4 -11 |