Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570j |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-434262459330 = -1 · 2 · 35 · 5 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4337,-116241] |
[a1,a2,a3,a4,a6] |
Generators |
[190457365:7564348763:117649] |
Generators of the group modulo torsion |
j |
-1565539801/75330 |
j-invariant |
L |
4.4575111637475 |
L(r)(E,1)/r! |
Ω |
0.29332012692651 |
Real period |
R |
15.196744970948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570bf1 |
Quadratic twists by: -7 |