Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245l |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1269760 |
Modular degree for the optimal curve |
Δ |
-9.7577078060341E+20 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1781874,-1759352657] |
[a1,a2,a3,a4,a6] |
j |
-32461759/50625 |
j-invariant |
L |
2.2298996773185 |
L(r)(E,1)/r! |
Ω |
0.061941657704534 |
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 |
14415b1 43245k1 |
Quadratic twists by: -3 -31 |