Atkin-Lehner |
2+ 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646i |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-155215420890318 = -1 · 2 · 313 · 312 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 3 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1341,598779] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3648:1] |
Generators of the group modulo torsion |
j |
365679263951/212915529342 |
j-invariant |
L |
3.4472797702365 |
L(r)(E,1)/r! |
Ω |
0.44925886794215 |
Real period |
R |
0.95915740796252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882j1 |
Quadratic twists by: -3 |