Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469w |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2035125981024633 = -1 · 32 · 712 · 17 · 312 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29129,-1021849] |
[a1,a2,a3,a4,a6] |
j |
23234516030375/17298285417 |
j-invariant |
L |
4.1695881112095 |
L(r)(E,1)/r! |
Ω |
0.26059925658793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067b2 |
Quadratic twists by: -7 |