Atkin-Lehner |
5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825h |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1221171875 = -1 · 57 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
0 -3 5+ 7+ 11- -3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,200,1281] |
[a1,a2,a3,a4,a6] |
Generators |
[15:87:1] [-30:171:8] |
Generators of the group modulo torsion |
j |
56623104/78155 |
j-invariant |
L |
4.995418356454 |
L(r)(E,1)/r! |
Ω |
1.0373767151498 |
Real period |
R |
0.60192915980946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165g1 |
Quadratic twists by: 5 |