Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440f |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-694241280 = -1 · 211 · 37 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256,1940] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-36:1] |
Generators of the group modulo torsion |
j |
-909513218/338985 |
j-invariant |
L |
4.8177956898882 |
L(r)(E,1)/r! |
Ω |
1.5143531959108 |
Real period |
R |
0.11362219345285 |
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 |
3720f1 29760ca1 22320q1 37200d1 |
Quadratic twists by: -4 8 -3 5 |