Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440l |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-857088000 = -1 · 213 · 33 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,1392] |
[a1,a2,a3,a4,a6] |
Generators |
[4:40:1] |
Generators of the group modulo torsion |
j |
1685159/209250 |
j-invariant |
L |
4.0943180115007 |
L(r)(E,1)/r! |
Ω |
1.2157889562231 |
Real period |
R |
0.28063519238156 |
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 |
930i1 29760cf1 22320bf1 37200cr1 |
Quadratic twists by: -4 8 -3 5 |