Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294h |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-744097536 = -1 · 28 · 33 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168,1600] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:47:1] [0:40:1] |
Generators of the group modulo torsion |
j |
-8869743/12544 |
j-invariant |
L |
5.0074030068713 |
L(r)(E,1)/r! |
Ω |
1.4410073719194 |
Real period |
R |
0.86873306557097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21294bt1 21294bz1 |
Quadratic twists by: -3 13 |