Atkin-Lehner |
2- 3+ 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21714j |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-2306534795034624 = -1 · 214 · 38 · 73 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26466,-2854545] |
[a1,a2,a3,a4,a6] |
Generators |
[865:-25381:1] |
Generators of the group modulo torsion |
j |
-2050168999123653409/2306534795034624 |
j-invariant |
L |
6.8123357734682 |
L(r)(E,1)/r! |
Ω |
0.17928743958727 |
Real period |
R |
0.1507806599747 |
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 |
65142g1 |
Quadratic twists by: -3 |