Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25080o |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-8430617492550316800 = -1 · 28 · 35 · 52 · 1111 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2783945,-1792404675] |
[a1,a2,a3,a4,a6] |
j |
-9321071855634140240896/32932099580274675 |
j-invariant |
L |
2.5707817080189 |
L(r)(E,1)/r! |
Ω |
0.058426857000432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50160s1 75240e1 125400bg1 |
Quadratic twists by: -4 -3 5 |