Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235h |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-129683301311655 = -1 · 310 · 5 · 7 · 137 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9855,-400464] |
[a1,a2,a3,a4,a6] |
Generators |
[366:2859:8] [100:1206:1] |
Generators of the group modulo torsion |
j |
30080231/36855 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
17745t1 4095n1 |
Quadratic twists by: -3 13 |