Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825j |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.4364485825412E+31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1796505400,415930725409375] |
[a1,a2,a3,a4,a6] |
j |
-348819718507793207040241/40453612804412841796875 |
j-invariant |
L |
3.1823294290925 |
L(r)(E,1)/r! |
Ω |
0.015911647160575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965o6 9975l6 |
Quadratic twists by: 5 -7 |