Atkin-Lehner |
2- 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966w |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
3.311530003464E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4607822,3706185565] |
[a1,a2,a3,a4,a6] |
Generators |
[-487:76627:1] |
Generators of the group modulo torsion |
j |
549691995827921808987/16824315416674304 |
j-invariant |
L |
6.5346410270397 |
L(r)(E,1)/r! |
Ω |
0.17040501070228 |
Real period |
R |
0.22826014692724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42966b1 |
Quadratic twists by: -3 |