Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820a |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
5558915250000 = 24 · 33 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6468,-164983] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:147:1] |
Generators of the group modulo torsion |
j |
588791808/109375 |
j-invariant |
L |
4.1135990218566 |
L(r)(E,1)/r! |
Ω |
0.53919383897521 |
Real period |
R |
1.271527579542 |
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 |
35280cw1 8820e3 44100g1 1260d1 |
Quadratic twists by: -4 -3 5 -7 |