Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090ba |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-36307781250 = -1 · 2 · 3 · 56 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4166,-104250] |
[a1,a2,a3,a4,a6] |
Generators |
[1374:15813:8] |
Generators of the group modulo torsion |
j |
-7996280576570209/36307781250 |
j-invariant |
L |
7.690617035693 |
L(r)(E,1)/r! |
Ω |
0.29704429873029 |
Real period |
R |
4.3150786311259 |
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 |
96720bk2 36270z2 60450e2 |
Quadratic twists by: -4 -3 5 |