Atkin-Lehner |
2- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12506d |
Isogeny class |
Conductor |
12506 |
Conductor |
∏ cp |
147 |
Product of Tamagawa factors cp |
Δ |
-347052715877838464 = -1 · 27 · 134 · 377 |
Discriminant |
Eigenvalues |
2- 0 -1 4 -3 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,108297,24776015] |
[a1,a2,a3,a4,a6] |
Generators |
[75:5734:1] |
Generators of the group modulo torsion |
j |
4918167786495951/12151280273024 |
j-invariant |
L |
6.8826689217361 |
L(r)(E,1)/r! |
Ω |
0.21180311137036 |
Real period |
R |
0.22105849491863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100048k2 112554f2 12506a2 |
Quadratic twists by: -4 -3 13 |