Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cg |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-78261547329518700 = -1 · 22 · 3 · 52 · 710 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,30330,13317807] |
[a1,a2,a3,a4,a6] |
Generators |
[45:3821:1] |
Generators of the group modulo torsion |
j |
26227192752431/665212176300 |
j-invariant |
L |
8.9630246304636 |
L(r)(E,1)/r! |
Ω |
0.25777774656447 |
Real period |
R |
2.1731473987563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510t4 |
Quadratic twists by: -7 |