Atkin-Lehner |
13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71383d |
Isogeny class |
Conductor |
71383 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1222702790967724937 = 134 · 179 · 192 |
Discriminant |
Eigenvalues |
1 -2 0 -2 -6 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9476461,-11229050085] |
[a1,a2,a3,a4,a6] |
Generators |
[-14250:8847:8] [6021:384285:1] |
Generators of the group modulo torsion |
j |
793636974301625/10310521 |
j-invariant |
L |
7.337100018538 |
L(r)(E,1)/r! |
Ω |
0.086047519182346 |
Real period |
R |
21.317000444187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71383c2 |
Quadratic twists by: 17 |