Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.0543777390445E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3364641,2170111905] |
[a1,a2,a3,a4,a6] |
Generators |
[776:5083:1] |
Generators of the group modulo torsion |
j |
16069416876629693641/1546622367494400 |
j-invariant |
L |
6.538072614991 |
L(r)(E,1)/r! |
Ω |
0.16373168101455 |
Real period |
R |
4.9914534993713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057703 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240ii2 3570p2 |
Quadratic twists by: -4 8 |