Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430l |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2069760 |
Modular degree for the optimal curve |
Δ |
-1.2069995820193E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4877370,-4469025650] |
[a1,a2,a3,a4,a6] |
Generators |
[3365:129515:1] |
Generators of the group modulo torsion |
j |
-17601648414020685090721/1655692156405120050 |
j-invariant |
L |
4.5380041686066 |
L(r)(E,1)/r! |
Ω |
0.050524980032475 |
Real period |
R |
3.2077514399026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810q1 |
Quadratic twists by: -3 |