Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bb |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33592320 |
Modular degree for the optimal curve |
Δ |
-3.6810630155711E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-228881367,1364445624541] |
[a1,a2,a3,a4,a6] |
Generators |
[5990:453449:1] |
Generators of the group modulo torsion |
j |
-186263370516259764025/5170656416933952 |
j-invariant |
L |
3.681625746579 |
L(r)(E,1)/r! |
Ω |
0.064833630074955 |
Real period |
R |
4.732145123733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bs1 97650ew1 |
Quadratic twists by: -3 5 |