Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440b |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
1011240000 = 26 · 32 · 54 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-886,10336] |
[a1,a2,a3,a4,a6] |
Generators |
[15:14:1] |
Generators of the group modulo torsion |
j |
1203192139456/15800625 |
j-invariant |
L |
4.0799744098855 |
L(r)(E,1)/r! |
Ω |
1.5651930591283 |
Real period |
R |
2.6066908398876 |
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 |
25440l1 50880ec2 76320bx1 127200di1 |
Quadratic twists by: -4 8 -3 5 |