Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25440j |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-24269760 = -1 · 26 · 33 · 5 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[31:170:1] |
Generators of the group modulo torsion |
j |
1560896/379215 |
j-invariant |
L |
3.5505226534701 |
L(r)(E,1)/r! |
Ω |
1.0015518225786 |
Real period |
R |
3.5450214092058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25440v1 50880dj1 76320bk1 127200de1 |
Quadratic twists by: -4 8 -3 5 |