Atkin-Lehner |
3- 5- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615q |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2224427935275 = 37 · 52 · 72 · 132 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-707387,-228822064] |
[a1,a2,a3,a4,a6] |
Generators |
[3054:159991:1] |
Generators of the group modulo torsion |
j |
53699078263181776489/3051341475 |
j-invariant |
L |
3.813023578046 |
L(r)(E,1)/r! |
Ω |
0.16462103791983 |
Real period |
R |
5.7906079726417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205i2 |
Quadratic twists by: -3 |