Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635v |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
56384614603845 = 32 · 5 · 116 · 294 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31160,2083467] |
[a1,a2,a3,a4,a6] |
Generators |
[43:886:1] [87:138:1] |
Generators of the group modulo torsion |
j |
1888690601881/31827645 |
j-invariant |
L |
6.9477432059512 |
L(r)(E,1)/r! |
Ω |
0.62849608085354 |
Real period |
R |
2.7636382380129 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
435c3 |
Quadratic twists by: -11 |