Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935cm |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
25159680 |
Modular degree for the optimal curve |
Δ |
-1.5051148198894E+25 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,49173150,131263165226] |
[a1,a2,a3,a4,a6] |
Generators |
[5133:-720374:1] |
Generators of the group modulo torsion |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
3.9266282511197 |
L(r)(E,1)/r! |
Ω |
0.046679255362892 |
Real period |
R |
1.6176796582127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705d1 8085x1 |
Quadratic twists by: -7 -11 |