Atkin-Lehner |
2+ 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490k |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-21802569618816000 = -1 · 210 · 32 · 53 · 710 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68282,9852564] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:3966:1] |
Generators of the group modulo torsion |
j |
-299270638153369/185318784000 |
j-invariant |
L |
4.9219113451987 |
L(r)(E,1)/r! |
Ω |
0.353425766113 |
Real period |
R |
1.1605245561276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999615807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070c1 |
Quadratic twists by: -7 |