Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870cd |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
60941242919700 = 22 · 318 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7550537,7987621749] |
[a1,a2,a3,a4,a6] |
Generators |
[1587:-774:1] |
Generators of the group modulo torsion |
j |
65302476285992806722889/83595669300 |
j-invariant |
L |
6.6835279693128 |
L(r)(E,1)/r! |
Ω |
0.39693834838228 |
Real period |
R |
2.1047122294153 |
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 |
102960ev4 4290e3 64350ba4 |
Quadratic twists by: -4 -3 5 |