Atkin-Lehner |
2+ 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650c |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816000 |
Modular degree for the optimal curve |
Δ |
-1.8441966298454E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -5 1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86555292,316781185616] |
[a1,a2,a3,a4,a6] |
Generators |
[23765521307:836137280666:3307949] |
Generators of the group modulo torsion |
j |
-233181060948366864507/5996473317588992 |
j-invariant |
L |
4.4036364782696 |
L(r)(E,1)/r! |
Ω |
0.083275837744646 |
Real period |
R |
13.22003055608 |
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 |
97650cj1 3906m1 |
Quadratic twists by: -3 5 |