Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
666b |
Isogeny class |
Conductor |
666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
352 |
Modular degree for the optimal curve |
Δ |
-9556372062 = -1 · 2 · 317 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -1 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153,-4685] |
[a1,a2,a3,a4,a6] |
j |
541343375/13108878 |
j-invariant |
L |
1.2533843913161 |
L(r)(E,1)/r! |
Ω |
0.62669219565803 |
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 |
5328p1 21312t1 222b1 16650ce1 |
Quadratic twists by: -4 8 -3 5 |