Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516y |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
80487044720208 = 24 · 38 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176988,-28655935] |
[a1,a2,a3,a4,a6] |
Generators |
[19110:382445:27] |
Generators of the group modulo torsion |
j |
1302642688/171 |
j-invariant |
L |
7.9234307609247 |
L(r)(E,1)/r! |
Ω |
0.23276464761772 |
Real period |
R |
5.6734208008093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172k1 33516q1 |
Quadratic twists by: -3 -7 |