Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760y |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
125384785924935680 = 212 · 5 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-742105,-245225223] |
[a1,a2,a3,a4,a6] |
j |
11034697254917922496/30611520001205 |
j-invariant |
L |
2.6030083626208 |
L(r)(E,1)/r! |
Ω |
0.16268802267432 |
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 |
45760r2 22880a1 |
Quadratic twists by: -4 8 |