Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4025c |
Isogeny class |
Conductor |
4025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
124355314696484375 = 58 · 712 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137942,-10015159] |
[a1,a2,a3,a4,a6] |
j |
18577831198352049/7958740140575 |
j-invariant |
L |
1.5449880284496 |
L(r)(E,1)/r! |
Ω |
0.25749800474159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400bj3 36225bx3 805c3 28175d3 |
Quadratic twists by: -4 -3 5 -7 |