Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73034d |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2781561582194391386 = -1 · 2 · 137 · 536 |
Discriminant |
Eigenvalues |
2+ 3 1 1 -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-597439,-194865553] |
[a1,a2,a3,a4,a6] |
Generators |
[601360968736278230760854115567402090:159640337609479012301729891588796126671:8500203269678714005816922259000] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
9.328222828518 |
L(r)(E,1)/r! |
Ω |
0.085296150606653 |
Real period |
R |
54.681382232215 |
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 |
26b2 |
Quadratic twists by: 53 |