Atkin-Lehner |
2+ 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050b |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2496000 |
Modular degree for the optimal curve |
Δ |
-9.263671875E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,129725,-462669875] |
[a1,a2,a3,a4,a6] |
Generators |
[55990:4659505:8] |
Generators of the group modulo torsion |
j |
15451458978984911/5928750000000000 |
j-invariant |
L |
4.9507014680109 |
L(r)(E,1)/r! |
Ω |
0.089256772051671 |
Real period |
R |
3.4666147408178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810t1 |
Quadratic twists by: 5 |