Atkin-Lehner |
2+ 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810d |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
538020 = 22 · 32 · 5 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
16022066761/538020 |
j-invariant |
L |
2.8803929148429 |
L(r)(E,1)/r! |
Ω |
1.777095981036 |
Real period |
R |
0.8104213125179 |
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 |
102480cq1 38430bi1 64050cq1 89670s1 |
Quadratic twists by: -4 -3 5 -7 |