Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440n |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1917273400934400 = -1 · 238 · 32 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-218360,-39258000] |
[a1,a2,a3,a4,a6] |
Generators |
[9610:302565:8] |
Generators of the group modulo torsion |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
3.2355565702194 |
L(r)(E,1)/r! |
Ω |
0.1104161955025 |
Real period |
R |
7.3258197212251 |
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 |
930j1 29760ch1 22320bl1 37200cx1 |
Quadratic twists by: -4 8 -3 5 |