Atkin-Lehner |
2+ 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610v |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
15381719040000 = 214 · 3 · 54 · 193 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30228,-2016494] |
[a1,a2,a3,a4,a6] |
j |
3054437898129579961/15381719040000 |
j-invariant |
L |
2.1731105280355 |
L(r)(E,1)/r! |
Ω |
0.36218508801413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830ci1 |
Quadratic twists by: -3 |