Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69938k |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2100384 |
Modular degree for the optimal curve |
Δ |
-3.2896942301964E+19 |
Discriminant |
Eigenvalues |
2- -2 0 4 11+ 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,681167,171309711] |
[a1,a2,a3,a4,a6] |
Generators |
[-1405130097717014410:3489735943116287047:6038311700725192] |
Generators of the group modulo torsion |
j |
2125/2 |
j-invariant |
L |
8.4452258005409 |
L(r)(E,1)/r! |
Ω |
0.13600480982862 |
Real period |
R |
31.047526227869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938b1 69938j1 |
Quadratic twists by: -11 17 |