Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582j |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37800576 |
Modular degree for the optimal curve |
Δ |
3.9112668819896E+25 |
Discriminant |
Eigenvalues |
2+ 2 4 0 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-103042598,-267527207020] |
[a1,a2,a3,a4,a6] |
Generators |
[533496918573217183416948622447406856190126246058218421839018447428635:44422525479658318006932059133965990210372867177765647514059199274334550:35457922487454223182281340508337974335566350191249709234488396281] |
Generators of the group modulo torsion |
j |
817348184878300169401/264210720009224192 |
j-invariant |
L |
10.063197885359 |
L(r)(E,1)/r! |
Ω |
0.048601962742091 |
Real period |
R |
103.52666145151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3634a1 |
Quadratic twists by: -23 |