Atkin-Lehner |
2+ 3+ 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194c |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
4265586263952 = 24 · 32 · 136 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55660,-5076608] |
[a1,a2,a3,a4,a6] |
j |
19070650613726727625/4265586263952 |
j-invariant |
L |
1.2433075152048 |
L(r)(E,1)/r! |
Ω |
0.31082687880117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75582bi1 |
Quadratic twists by: -3 |