Atkin-Lehner |
3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789a |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
121873657941 = 36 · 78 · 29 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ -4 -5 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7203,-234698] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:24:1] [-47:4:1] |
Generators of the group modulo torsion |
j |
9834496/29 |
j-invariant |
L |
3.2885196785478 |
L(r)(E,1)/r! |
Ω |
0.51832025878489 |
Real period |
R |
1.057428498697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421b1 12789l1 |
Quadratic twists by: -3 -7 |