Atkin-Lehner |
2+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12710f |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3940100 = 22 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104,-372] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] |
Generators of the group modulo torsion |
j |
125075015001/3940100 |
j-invariant |
L |
3.9938424766088 |
L(r)(E,1)/r! |
Ω |
1.4972123258061 |
Real period |
R |
1.3337595502557 |
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 |
101680bf1 114390bb1 63550r1 |
Quadratic twists by: -4 -3 5 |