Atkin-Lehner |
2+ 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270o |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
752105217600 = 26 · 36 · 52 · 112 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2319,10925] |
[a1,a2,a3,a4,a6] |
j |
1892360039409/1031694400 |
j-invariant |
L |
3.1332607632459 |
L(r)(E,1)/r! |
Ω |
0.78331518309298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8030i2 |
Quadratic twists by: -3 |