Atkin-Lehner |
2+ 3+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170a |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0858146652222E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3709713923,86821680921933] |
[a1,a2,a3,a4,a6] |
Generators |
[94713444211261464122279840701:-5862040846070387017827575540501:3228773715693937073791367] |
Generators of the group modulo torsion |
j |
5646053282555547592278047067375289/10858146652221679687500000000 |
j-invariant |
L |
3.5958154858834 |
L(r)(E,1)/r! |
Ω |
0.04052234549608 |
Real period |
R |
44.368303979718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120510bh3 |
Quadratic twists by: -3 |