Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416q |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-155234561328 = -1 · 24 · 32 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239,18930] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:123:1] |
Generators of the group modulo torsion |
j |
-94757435392/9702160083 |
j-invariant |
L |
5.8876544933201 |
L(r)(E,1)/r! |
Ω |
0.8426845832958 |
Real period |
R |
3.4933916022844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832g1 94248l1 |
Quadratic twists by: -4 -3 |