Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bp |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1653120 |
Modular degree for the optimal curve |
Δ |
-581450975846162928 = -1 · 24 · 36 · 114 · 237 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ 3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7957497,8640059915] |
[a1,a2,a3,a4,a6] |
Generators |
[-3118:56023:1] |
Generators of the group modulo torsion |
j |
-4777554520541237119744/49850049369527 |
j-invariant |
L |
3.1937864722388 |
L(r)(E,1)/r! |
Ω |
0.2629225667533 |
Real period |
R |
6.0736256147134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9108t1 4048k1 |
Quadratic twists by: -4 -3 |