Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998k |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
458304 |
Modular degree for the optimal curve |
Δ |
-8281871549948502 = -1 · 2 · 37 · 1110 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29587,-4809001] |
[a1,a2,a3,a4,a6] |
Generators |
[26102711566097032341812548939536602:7044201726494612465547087507327360663:357100520982948722327919980408] |
Generators of the group modulo torsion |
j |
-110433433/319302 |
j-invariant |
L |
9.5319931052402 |
L(r)(E,1)/r! |
Ω |
0.16850988241612 |
Real period |
R |
56.56637443792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52998d1 |
Quadratic twists by: -11 |