Atkin-Lehner |
3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309k |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
391156857 = 35 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-505,-4474] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:16:1] |
Generators of the group modulo torsion |
j |
41529573847/1140399 |
j-invariant |
L |
2.4539500141151 |
L(r)(E,1)/r! |
Ω |
1.0087894828107 |
Real period |
R |
2.4325689907848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927u1 36309y1 |
Quadratic twists by: -3 -7 |