Atkin-Lehner |
3+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83607a |
Isogeny class |
Conductor |
83607 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-1744932524761953 = -1 · 37 · 29 · 317 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 -5 4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13915,-1902102] |
[a1,a2,a3,a4,a6] |
j |
335702375/1966113 |
j-invariant |
L |
0.94418123310321 |
L(r)(E,1)/r! |
Ω |
0.23604533786466 |
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 |
2697a1 |
Quadratic twists by: -31 |