Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17934x |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1751508372740251104 = -1 · 25 · 33 · 716 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-274254,84300516] |
[a1,a2,a3,a4,a6] |
j |
-19390744433389393/14887575523296 |
j-invariant |
L |
7.304159737349 |
L(r)(E,1)/r! |
Ω |
0.24347199124497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802w1 2562j1 |
Quadratic twists by: -3 -7 |