Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17934l |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
460992 |
Modular degree for the optimal curve |
Δ |
-2564074371598250112 = -1 · 27 · 37 · 79 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -1 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2310670,1353932864] |
[a1,a2,a3,a4,a6] |
Generators |
[886:1100:1] |
Generators of the group modulo torsion |
j |
-33810754264957279/63540153216 |
j-invariant |
L |
5.3418495147784 |
L(r)(E,1)/r! |
Ω |
0.25695072474573 |
Real period |
R |
1.4849566196188 |
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 |
53802by1 17934h1 |
Quadratic twists by: -3 -7 |