Atkin-Lehner |
2+ 3- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
110664d |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3374592 |
Modular degree for the optimal curve |
Δ |
-384603886256419584 = -1 · 28 · 319 · 293 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -4 -3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14134764,20454149140] |
[a1,a2,a3,a4,a6] |
j |
-1673485307018355991552/2060849013291 |
j-invariant |
L |
2.0338096564931 |
L(r)(E,1)/r! |
Ω |
0.25422616458335 |
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 |
36888g1 |
Quadratic twists by: -3 |