Atkin-Lehner |
2+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62234a |
Isogeny class |
Conductor |
62234 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22200 |
Modular degree for the optimal curve |
Δ |
-31863808 = -1 · 210 · 292 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 -2 -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143,749] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:33:1] |
Generators of the group modulo torsion |
j |
-386049537/37888 |
j-invariant |
L |
3.6492724262533 |
L(r)(E,1)/r! |
Ω |
2.03103632149 |
Real period |
R |
0.89837694869679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62234m1 |
Quadratic twists by: 29 |