Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17934bc |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-1042093377024 = -1 · 29 · 3 · 72 · 614 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3711,99609] |
[a1,a2,a3,a4,a6] |
Generators |
[20:173:1] |
Generators of the group modulo torsion |
j |
-115347399927361/21267211776 |
j-invariant |
L |
8.613283614628 |
L(r)(E,1)/r! |
Ω |
0.8406885667541 |
Real period |
R |
0.28459751642381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802z1 17934p1 |
Quadratic twists by: -3 -7 |