Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
86152a |
Isogeny class |
Conductor |
86152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3551965632512 = 211 · 117 · 89 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5054291,4373594126] |
[a1,a2,a3,a4,a6] |
Generators |
[6722492458069560:-387202794709758517:1577098944000] |
Generators of the group modulo torsion |
j |
3935667288078594/979 |
j-invariant |
L |
6.2441870052165 |
L(r)(E,1)/r! |
Ω |
0.46508981579354 |
Real period |
R |
26.851531833939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7832c3 |
Quadratic twists by: -11 |