Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280k |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
317173544158752000 = 28 · 36 · 53 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1713423,862841378] |
[a1,a2,a3,a4,a6] |
Generators |
[6178:3553:8] |
Generators of the group modulo torsion |
j |
2980917766431299536/1699532451125 |
j-invariant |
L |
6.6664494030424 |
L(r)(E,1)/r! |
Ω |
0.30195038893123 |
Real period |
R |
5.5194906724195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999731266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12920l2 |
Quadratic twists by: -3 |