Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
588b |
Isogeny class |
Conductor |
588 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-664381785648 = -1 · 24 · 3 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5553,165894] |
[a1,a2,a3,a4,a6] |
Generators |
[26:196:1] |
Generators of the group modulo torsion |
j |
-10061824000/352947 |
j-invariant |
L |
1.8046862614269 |
L(r)(E,1)/r! |
Ω |
0.90328904586673 |
Real period |
R |
1.9979056202273 |
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 |
2352t3 9408bb3 1764f3 14700bn3 |
Quadratic twists by: -4 8 -3 5 |