Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830d |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
17596286150360400 = 24 · 33 · 52 · 73 · 416 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66270,-1527804] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:834:1] |
Generators of the group modulo torsion |
j |
1192105100199918267/651714301865200 |
j-invariant |
L |
4.1640056848839 |
L(r)(E,1)/r! |
Ω |
0.31779098601128 |
Real period |
R |
3.2757424440731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
25830y4 129150cc2 |
Quadratic twists by: -3 5 |