Atkin-Lehner |
3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15345f |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
74446190775 = 38 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,7472] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:157:1] |
Generators of the group modulo torsion |
j |
229333309561/102120975 |
j-invariant |
L |
2.8351574019294 |
L(r)(E,1)/r! |
Ω |
0.97996795728234 |
Real period |
R |
0.36163904401935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115h2 76725t2 |
Quadratic twists by: -3 5 |