Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789l |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
1035909 = 36 · 72 · 29 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -4 5 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,684] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] |
Generators of the group modulo torsion |
j |
9834496/29 |
j-invariant |
L |
2.5230342437095 |
L(r)(E,1)/r! |
Ω |
2.7788236991092 |
Real period |
R |
0.45397522781283 |
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 |
1421g1 12789a1 |
Quadratic twists by: -3 -7 |