Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270r |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.7886468132374E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37641978630,-2810808269792204] |
[a1,a2,a3,a4,a6] |
Generators |
[38841519439330136367482957961817023588203952955546980951:-39524952508475630348837105335736391172769325049429871557715:36231341474705354153012645521576584130775413252413] |
Generators of the group modulo torsion |
j |
8091210786191720043428023421942881/519704638304164343196791040 |
j-invariant |
L |
3.4597890238182 |
L(r)(E,1)/r! |
Ω |
0.010838847789183 |
Real period |
R |
79.800664496625 |
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 |
12090x4 |
Quadratic twists by: -3 |