Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480n |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-74756657557440 = -1 · 26 · 320 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12117,-660764] |
[a1,a2,a3,a4,a6] |
Generators |
[15263653020:-127432326064:91733851] |
Generators of the group modulo torsion |
j |
-4216979924416/1602294615 |
j-invariant |
L |
7.8945251145915 |
L(r)(E,1)/r! |
Ω |
0.22330214041854 |
Real period |
R |
17.676778895256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480bh1 32160v1 |
Quadratic twists by: -4 -3 |