Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bd |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-5.0661895902423E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2946001,2817943202] |
[a1,a2,a3,a4,a6] |
Generators |
[18:53572:1] |
Generators of the group modulo torsion |
j |
24034459157212006439/43061900995693440 |
j-invariant |
L |
4.1062880059548 |
L(r)(E,1)/r! |
Ω |
0.093653122090057 |
Real period |
R |
1.2895798233983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510d1 |
Quadratic twists by: -7 |