Atkin-Lehner |
2+ 3+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84912a |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-315193344 = -1 · 211 · 3 · 292 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -2 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-3696] |
[a1,a2,a3,a4,a6] |
Generators |
[32:116:1] |
Generators of the group modulo torsion |
j |
-5131452818/153903 |
j-invariant |
L |
3.6669202701568 |
L(r)(E,1)/r! |
Ω |
0.51556320438525 |
Real period |
R |
0.88905692047682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999774784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42456d1 |
Quadratic twists by: -4 |