Atkin-Lehner |
2+ 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31734c |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-1380001983234048 = -1 · 230 · 36 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5742,1778004] |
[a1,a2,a3,a4,a6] |
j |
28717273414367/1893006835712 |
j-invariant |
L |
0.73321531895614 |
L(r)(E,1)/r! |
Ω |
0.36660765947822 |
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 |
3526c1 |
Quadratic twists by: -3 |