Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12402i |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
310506095952 = 24 · 312 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9716,370055] |
[a1,a2,a3,a4,a6] |
Generators |
[15:469:1] |
Generators of the group modulo torsion |
j |
139128722155513/425934288 |
j-invariant |
L |
5.3583207391344 |
L(r)(E,1)/r! |
Ω |
0.97172070256597 |
Real period |
R |
0.68928251772667 |
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 |
99216bf2 4134c2 |
Quadratic twists by: -4 -3 |