Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632r |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
12453056 = 26 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11+ 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:665:64] |
Generators of the group modulo torsion |
j |
354894912/194579 |
j-invariant |
L |
7.2476054167133 |
L(r)(E,1)/r! |
Ω |
1.8409240649823 |
Real period |
R |
3.936938809344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632z1 46816a2 |
Quadratic twists by: -4 8 |