Atkin-Lehner |
3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075bd |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5598720 |
Modular degree for the optimal curve |
Δ |
-6.4950446641069E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3665030,12556458222] |
[a1,a2,a3,a4,a6] |
Generators |
[-2662:60015:1] |
Generators of the group modulo torsion |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
3.9789689395403 |
L(r)(E,1)/r! |
Ω |
0.093706454644352 |
Real period |
R |
3.5385048579336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32025h1 3843d1 |
Quadratic twists by: -3 5 |