Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520j |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3830620933324800 = -1 · 228 · 39 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7668,-2966544] |
[a1,a2,a3,a4,a6] |
j |
9663597/742400 |
j-invariant |
L |
3.3630872059501 |
L(r)(E,1)/r! |
Ω |
0.21019294908156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ds1 2610a1 83520d1 |
Quadratic twists by: -4 8 -3 |