Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162s |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1995062736628242792 = 23 · 37 · 79 · 414 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19377108,32835581064] |
[a1,a2,a3,a4,a6] |
Generators |
[517351:371843282:1] |
Generators of the group modulo torsion |
j |
9381555148655972017/23261664552 |
j-invariant |
L |
3.4017331974694 |
L(r)(E,1)/r! |
Ω |
0.22693215224764 |
Real period |
R |
7.4950445844219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bn3 5166s3 |
Quadratic twists by: -3 -7 |