Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810j |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2747032957623150 = -1 · 2 · 316 · 52 · 73 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38031,-3824781] |
[a1,a2,a3,a4,a6] |
Generators |
[180168:2546385:512] |
Generators of the group modulo torsion |
j |
-6083277961179405169/2747032957623150 |
j-invariant |
L |
6.18199755991 |
L(r)(E,1)/r! |
Ω |
0.16728718559815 |
Real period |
R |
6.1590666551512 |
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 |
102480bq2 38430v2 64050q2 89670cn2 |
Quadratic twists by: -4 -3 5 -7 |