Atkin-Lehner |
3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120213g |
Isogeny class |
Conductor |
120213 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4523520 |
Modular degree for the optimal curve |
Δ |
-2.3476908825686E+20 |
Discriminant |
Eigenvalues |
0 3- 1 -5 -5 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,288078,734782378] |
[a1,a2,a3,a4,a6] |
Generators |
[7942:709906:1] |
Generators of the group modulo torsion |
j |
11239424/998001 |
j-invariant |
L |
3.8178398452287 |
L(r)(E,1)/r! |
Ω |
0.13489826503382 |
Real period |
R |
3.5377029213762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998817102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40071a1 120213e1 |
Quadratic twists by: -3 -19 |