Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570df |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-12548423516160 = -1 · 215 · 3 · 5 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7890,-319740] |
[a1,a2,a3,a4,a6] |
Generators |
[452:9182:1] |
Generators of the group modulo torsion |
j |
-461710681489/106659840 |
j-invariant |
L |
12.693030363771 |
L(r)(E,1)/r! |
Ω |
0.25021107477856 |
Real period |
R |
1.6909763586606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510n1 |
Quadratic twists by: -7 |