Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025w |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-217005075 = -1 · 311 · 52 · 72 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,-729] |
[a1,a2,a3,a4,a6] |
Generators |
[90:801:1] |
Generators of the group modulo torsion |
j |
-46585/243 |
j-invariant |
L |
5.1152014410256 |
L(r)(E,1)/r! |
Ω |
0.73778930837359 |
Real period |
R |
3.4665733041738 |
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 |
3675k1 11025bm1 11025r1 |
Quadratic twists by: -3 5 -7 |