Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570ch |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2472172500 = -1 · 22 · 3 · 54 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,335,-253] |
[a1,a2,a3,a4,a6] |
Generators |
[7:46:1] |
Generators of the group modulo torsion |
j |
12119452073/7207500 |
j-invariant |
L |
7.7326654821704 |
L(r)(E,1)/r! |
Ω |
0.84629886107841 |
Real period |
R |
1.1421298429245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45570cs2 |
Quadratic twists by: -7 |