Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025be |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-57456600591796875 = -1 · 36 · 59 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -1 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-77175,14180906] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:4287:1] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
2.1102613350723 |
L(r)(E,1)/r! |
Ω |
0.31955186784162 |
Real period |
R |
1.6509536850198 |
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 |
1225d1 2205l1 11025bd1 |
Quadratic twists by: -3 5 -7 |