Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
72216b |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15207379312896 = 28 · 310 · 172 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12279,-488950] |
[a1,a2,a3,a4,a6] |
Generators |
[1180075:26717040:2197] |
Generators of the group modulo torsion |
j |
1097097477712/81486729 |
j-invariant |
L |
7.8710781265816 |
L(r)(E,1)/r! |
Ω |
0.45566141582056 |
Real period |
R |
8.6369811581125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000094 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24072d2 |
Quadratic twists by: -3 |