Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17680f |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
2828800000 = 212 · 55 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230203,42512298] |
[a1,a2,a3,a4,a6] |
Generators |
[-507:5376:1] |
Generators of the group modulo torsion |
j |
329379602649536529/690625 |
j-invariant |
L |
4.9316477538061 |
L(r)(E,1)/r! |
Ω |
0.93280958464997 |
Real period |
R |
5.2868750867914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1105a1 70720bk1 88400bh1 |
Quadratic twists by: -4 8 5 |