Atkin-Lehner |
3- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835bh |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1136640 |
Modular degree for the optimal curve |
Δ |
-1.8713028470365E+19 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11- 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1181262,536200672] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:29947:1] |
Generators of the group modulo torsion |
j |
-250054620557414662144/25669449204889875 |
j-invariant |
L |
5.5075306567989 |
L(r)(E,1)/r! |
Ω |
0.21209870796104 |
Real period |
R |
0.54097558215778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945a1 |
Quadratic twists by: -3 |