Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260b |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
400718376450000 = 24 · 34 · 55 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4133901,3236482026] |
[a1,a2,a3,a4,a6] |
Generators |
[19194:675207:8] |
Generators of the group modulo torsion |
j |
4150455958484156416/212878125 |
j-invariant |
L |
4.7907061018583 |
L(r)(E,1)/r! |
Ω |
0.39926315747796 |
Real period |
R |
5.9994342271588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1740f1 |
Quadratic twists by: -7 |