Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786k |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.3543409381394E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1012605,-430062841] |
[a1,a2,a3,a4,a6] |
Generators |
[2956323869785:168430346275854:817400375] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
2.8243121467639 |
L(r)(E,1)/r! |
Ω |
0.074755443342166 |
Real period |
R |
18.890344438442 |
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 |
13754j2 234a2 |
Quadratic twists by: -3 -23 |