Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290ba |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
745920 |
Modular degree for the optimal curve |
Δ |
-69046240744356250 = -1 · 2 · 55 · 737 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,101140,-2552150] |
[a1,a2,a3,a4,a6] |
Generators |
[4180:131135:64] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
5.3154143182926 |
L(r)(E,1)/r! |
Ω |
0.20174132535732 |
Real period |
R |
1.3173836120949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730h1 |
Quadratic twists by: 73 |