Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1110k |
Isogeny class |
Conductor |
1110 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2554882560000 = 212 · 36 · 54 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21325,1187267] |
[a1,a2,a3,a4,a6] |
j |
1072487167529950801/2554882560000 |
j-invariant |
L |
2.4423427198668 |
L(r)(E,1)/r! |
Ω |
0.81411423995561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
8880ba2 35520v2 3330f2 5550m2 |
Quadratic twists by: -4 8 -3 5 |