Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bn |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-743423064145920 = -1 · 219 · 36 · 5 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13893,-1150486] |
[a1,a2,a3,a4,a6] |
Generators |
[530:1971:8] |
Generators of the group modulo torsion |
j |
99317171591/248970880 |
j-invariant |
L |
7.9146145629541 |
L(r)(E,1)/r! |
Ω |
0.26124311148075 |
Real period |
R |
2.5246645158977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570bd1 5840e1 |
Quadratic twists by: -4 -3 |