Atkin-Lehner |
2+ 3+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606c |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
388878336 |
Modular degree for the optimal curve |
Δ |
-4.5259182938533E+32 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 2 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13885716273,-1201800466070955] |
[a1,a2,a3,a4,a6] |
j |
-296093295290979069203730431751809689/452591829385326464943388845146112 |
j-invariant |
L |
1.6624825390814 |
L(r)(E,1)/r! |
Ω |
0.0065971529327401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818be1 |
Quadratic twists by: -3 |