Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305o |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
9056185062225 = 3 · 52 · 7 · 297 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9269,310667] |
[a1,a2,a3,a4,a6] |
Generators |
[111556359005:-506520048111:1349232625] |
Generators of the group modulo torsion |
j |
148035889/15225 |
j-invariant |
L |
10.721392630566 |
L(r)(E,1)/r! |
Ω |
0.70939990080475 |
Real period |
R |
15.113326939558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045c1 |
Quadratic twists by: 29 |