Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570da |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-7.3326308748875E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,43955939,396431270591] |
[a1,a2,a3,a4,a6] |
Generators |
[83710:11277733:8] |
Generators of the group modulo torsion |
j |
79834049226144675685439/623263340520316720350 |
j-invariant |
L |
10.442351064933 |
L(r)(E,1)/r! |
Ω |
0.044796081439386 |
Real period |
R |
3.6423216082053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510r6 |
Quadratic twists by: -7 |