Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
108290bo |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
144836949770240 = 216 · 5 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14995,-411503] |
[a1,a2,a3,a4,a6] |
Generators |
[475:9758:1] |
Generators of the group modulo torsion |
j |
3169397364769/1231093760 |
j-invariant |
L |
17.686700163499 |
L(r)(E,1)/r! |
Ω |
0.44592489886389 |
Real period |
R |
1.2394674114927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210d1 |
Quadratic twists by: -7 |