Atkin-Lehner |
2+ 3- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
14214d |
Isogeny class |
Conductor |
14214 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
132864 |
Modular degree for the optimal curve |
Δ |
-672236880067008 = -1 · 26 · 316 · 23 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 2 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12413,-1357288] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1150:1] |
Generators of the group modulo torsion |
j |
-211496742846707401/672236880067008 |
j-invariant |
L |
3.8207462917002 |
L(r)(E,1)/r! |
Ω |
0.20852595425811 |
Real period |
R |
1.1451650902683 |
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 |
113712k1 42642l1 |
Quadratic twists by: -4 -3 |