Atkin-Lehner |
2+ 3- 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274w |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
61689600 |
Modular degree for the optimal curve |
Δ |
-5.6969782282937E+25 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 3 -2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63987156,305044202704] |
[a1,a2,a3,a4,a6] |
j |
39744277207681151529168191/78147849496483564879872 |
j-invariant |
L |
1.2116260570772 |
L(r)(E,1)/r! |
Ω |
0.043272389479345 |
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 |
37758m1 |
Quadratic twists by: -3 |