Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235h |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6556211344089225 = 38 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58590,-3809025] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1269:1] [-150:1335:1] |
Generators of the group modulo torsion |
j |
6321363049/1863225 |
j-invariant |
L |
10.676603430797 |
L(r)(E,1)/r! |
Ω |
0.31381500228459 |
Real period |
R |
8.5054915739168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17745t2 4095n2 |
Quadratic twists by: -3 13 |