Atkin-Lehner |
2- 5- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65360i |
Isogeny class |
Conductor |
65360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1102848 |
Modular degree for the optimal curve |
Δ |
-606367187500000000 = -1 · 28 · 516 · 192 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -5 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,203115,-12668225] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1730:1] [155:4750:1] |
Generators of the group modulo torsion |
j |
3619991910921273344/2368621826171875 |
j-invariant |
L |
6.6699432984031 |
L(r)(E,1)/r! |
Ω |
0.16521528409939 |
Real period |
R |
0.63080038027718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16340d1 |
Quadratic twists by: -4 |