Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bv |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-4683447945891000 = -1 · 23 · 36 · 53 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34987,2111717] |
[a1,a2,a3,a4,a6] |
Generators |
[505:11928:1] |
Generators of the group modulo torsion |
j |
6497225437879799/6424482779000 |
j-invariant |
L |
6.5783238620563 |
L(r)(E,1)/r! |
Ω |
0.28580528620039 |
Real period |
R |
3.8361337710668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102960df2 1430d2 64350bk2 |
Quadratic twists by: -4 -3 5 |