Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72216j |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-922647274739712 = -1 · 211 · 37 · 17 · 594 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9141,1422182] |
[a1,a2,a3,a4,a6] |
Generators |
[-4910334:18596690:59319] |
Generators of the group modulo torsion |
j |
56577969646/617985411 |
j-invariant |
L |
9.1556664886933 |
L(r)(E,1)/r! |
Ω |
0.36616676865548 |
Real period |
R |
12.502044521195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24072c3 |
Quadratic twists by: -3 |