Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570w |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-7.5392788078125E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8923266,-8321471504] |
[a1,a2,a3,a4,a6] |
Generators |
[143060:9591183:64] |
Generators of the group modulo torsion |
j |
13630474671583360871/13078125000000000 |
j-invariant |
L |
5.5782239744165 |
L(r)(E,1)/r! |
Ω |
0.059455856401186 |
Real period |
R |
10.424585589029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570m2 |
Quadratic twists by: -7 |