Atkin-Lehner |
2+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12710g |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-333510400 = -1 · 28 · 52 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-203,1398] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:40:1] |
Generators of the group modulo torsion |
j |
-918613512361/333510400 |
j-invariant |
L |
2.081965974479 |
L(r)(E,1)/r! |
Ω |
1.61109533462 |
Real period |
R |
0.6461336985282 |
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 |
101680bg1 114390v1 63550s1 |
Quadratic twists by: -4 -3 5 |