Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960eq |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-350189858304000 = -1 · 212 · 314 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287472,59332336] |
[a1,a2,a3,a4,a6] |
j |
-879878867636224/117277875 |
j-invariant |
L |
3.1168993833929 |
L(r)(E,1)/r! |
Ω |
0.51948319219983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6435n1 34320bw1 |
Quadratic twists by: -4 -3 |