Atkin-Lehner |
2- 3+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318n |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
73675008 = 28 · 34 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-122,263] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:31:1] |
Generators of the group modulo torsion |
j |
200921157793/73675008 |
j-invariant |
L |
7.6685279724507 |
L(r)(E,1)/r! |
Ω |
1.7755346054431 |
Real period |
R |
1.0797491568091 |
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 |
63954h1 |
Quadratic twists by: -3 |