Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675q |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
5.2686468650696E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32558204276,2261195987846573] |
[a1,a2,a3,a4,a6] |
Generators |
[104211:-41858:1] |
Generators of the group modulo torsion |
j |
244278372097294970677394534465329/33719339936445556640625 |
j-invariant |
L |
8.4059204566579 |
L(r)(E,1)/r! |
Ω |
0.040611351527836 |
Real period |
R |
5.7495695582225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74025w2 4935a2 |
Quadratic twists by: -3 5 |