Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bb |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-14318390476800 = -1 · 218 · 310 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3147,-167589] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1868:1] |
Generators of the group modulo torsion |
j |
137868581419655/572735619072 |
j-invariant |
L |
4.4503106746691 |
L(r)(E,1)/r! |
Ω |
0.35611492414588 |
Real period |
R |
0.34713440123164 |
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 |
44400cu1 16650bb1 5550s1 |
Quadratic twists by: -4 -3 5 |