Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855d |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
348467155925625 = 32 · 54 · 118 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188581,-31586422] |
[a1,a2,a3,a4,a6] |
Generators |
[4558:52167:8] |
Generators of the group modulo torsion |
j |
418660076257129/196700625 |
j-invariant |
L |
1.6220794337245 |
L(r)(E,1)/r! |
Ω |
0.22910644446953 |
Real period |
R |
3.5400126728872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92565br2 2805b2 |
Quadratic twists by: -3 -11 |