Atkin-Lehner |
3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11025bh |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-8208085798828125 = -1 · 36 · 59 · 78 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88430,11042322] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:3215:1] |
Generators of the group modulo torsion |
j |
-9317 |
j-invariant |
L |
2.9138288218857 |
L(r)(E,1)/r! |
Ω |
0.40356869692153 |
Real period |
R |
1.2033592810479 |
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 |
1225e1 11025bg1 11025bl1 |
Quadratic twists by: -3 5 -7 |