Atkin-Lehner |
2+ 3+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33630c |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
581126400 = 28 · 34 · 52 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47297,-3978891] |
[a1,a2,a3,a4,a6] |
Generators |
[8886:104357:27] |
Generators of the group modulo torsion |
j |
11701427432446598041/581126400 |
j-invariant |
L |
3.9668612557144 |
L(r)(E,1)/r! |
Ω |
0.32373522870315 |
Real period |
R |
6.1267061845649 |
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 |
100890q1 |
Quadratic twists by: -3 |