Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440a |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-287251971840 = -1 · 28 · 35 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-876,-27360] |
[a1,a2,a3,a4,a6] |
Generators |
[13895:15310:343] |
Generators of the group modulo torsion |
j |
-290731267024/1122078015 |
j-invariant |
L |
3.2189563983311 |
L(r)(E,1)/r! |
Ω |
0.40101679786239 |
Real period |
R |
8.0269864391959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3720c1 29760ct1 22320l1 37200p1 |
Quadratic twists by: -4 8 -3 5 |