Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24675k |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
561754934384765625 = 312 · 510 · 72 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-208250,-6221625] |
[a1,a2,a3,a4,a6] |
Generators |
[-264390:10010895:2744] |
Generators of the group modulo torsion |
j |
63923710333180321/35952315800625 |
j-invariant |
L |
4.7347749261565 |
L(r)(E,1)/r! |
Ω |
0.24048559990249 |
Real period |
R |
9.8441963428919 |
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 |
74025m2 4935i2 |
Quadratic twists by: -3 5 |