Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784x |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-1205338112 = -1 · 219 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -3 0 0 11- 7 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-715,7546] |
[a1,a2,a3,a4,a6] |
Generators |
[5:64:1] |
Generators of the group modulo torsion |
j |
-81563625/2432 |
j-invariant |
L |
2.9447293199547 |
L(r)(E,1)/r! |
Ω |
1.5316955276616 |
Real period |
R |
0.4806322906177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598s1 36784bl1 |
Quadratic twists by: -4 -11 |