Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728co |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
275968 |
Modular degree for the optimal curve |
Δ |
-2183668564525056 = -1 · 215 · 37 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21537,2549151] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:1029:1] [-153:1512:1] |
Generators of the group modulo torsion |
j |
-33717049708616/66640276017 |
j-invariant |
L |
9.6132346707574 |
L(r)(E,1)/r! |
Ω |
0.41217012428866 |
Real period |
R |
0.11899726054085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728l1 24864s1 |
Quadratic twists by: -4 8 |