Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600bk |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-7.112021484375E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4612575,-4023062750] |
[a1,a2,a3,a4,a6] |
Generators |
[552179185:47414701350:68921] |
Generators of the group modulo torsion |
j |
-3721915550952016/243896484375 |
j-invariant |
L |
5.331244668154 |
L(r)(E,1)/r! |
Ω |
0.051314825924133 |
Real period |
R |
12.986609065107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22200g1 13320d1 |
Quadratic twists by: -3 5 |