Atkin-Lehner |
2+ 3+ 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842a |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
-1569383424 = -1 · 210 · 35 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1031,-13323] |
[a1,a2,a3,a4,a6] |
Generators |
[5030:11389:125] |
Generators of the group modulo torsion |
j |
-121382959848697/1569383424 |
j-invariant |
L |
4.6867343357767 |
L(r)(E,1)/r! |
Ω |
0.42088735424776 |
Real period |
R |
5.5676825265442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113526ba1 |
Quadratic twists by: -3 |