Atkin-Lehner |
2+ 3- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
64752d |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-2820343161939065856 = -1 · 210 · 310 · 194 · 713 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114624,82130436] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:7668:1] |
Generators of the group modulo torsion |
j |
-162650058508318468/2754241369081119 |
j-invariant |
L |
6.4354941493718 |
L(r)(E,1)/r! |
Ω |
0.21490463069159 |
Real period |
R |
0.49909690394775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376a1 |
Quadratic twists by: -4 |