Atkin-Lehner |
2+ 3+ 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010d |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
485760 |
Modular degree for the optimal curve |
Δ |
86926734938603520 = 223 · 33 · 5 · 195 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 1 -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152289,-17906947] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:1765:1] |
Generators of the group modulo torsion |
j |
14466622763809223883/3219508701429760 |
j-invariant |
L |
4.3762155601851 |
L(r)(E,1)/r! |
Ω |
0.24551714500099 |
Real period |
R |
1.7824480486545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53010be1 |
Quadratic twists by: -3 |