Atkin-Lehner |
2- 3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566m |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
186 |
Product of Tamagawa factors cp |
deg |
1979040 |
Modular degree for the optimal curve |
Δ |
-9.8861886149398E+18 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-208286950,-1157107697437] |
[a1,a2,a3,a4,a6] |
j |
-999332228994539284564820200801/9886188614939836416 |
j-invariant |
L |
3.6958725620341 |
L(r)(E,1)/r! |
Ω |
0.019870282591581 |
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 |
108528ba1 40698q1 94962cb1 |
Quadratic twists by: -4 -3 -7 |