Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789m |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-4675926634222347 = -1 · 39 · 710 · 292 |
Discriminant |
Eigenvalues |
-2 3- 4 7- -4 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7203,-3298374] |
[a1,a2,a3,a4,a6] |
Generators |
[165:72:1] |
Generators of the group modulo torsion |
j |
-200704/22707 |
j-invariant |
L |
3.0222688571758 |
L(r)(E,1)/r! |
Ω |
0.19249048058726 |
Real period |
R |
3.9252185977656 |
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 |
4263h1 12789b1 |
Quadratic twists by: -3 -7 |