Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290b |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
-3890170 = -1 · 2 · 5 · 733 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50,-154] |
[a1,a2,a3,a4,a6] |
Generators |
[55:374:1] |
Generators of the group modulo torsion |
j |
-35937/10 |
j-invariant |
L |
3.4163861414562 |
L(r)(E,1)/r! |
Ω |
0.88407285426804 |
Real period |
R |
1.9321858628235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53290n1 |
Quadratic twists by: 73 |