Atkin-Lehner |
3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921h |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
376992 |
Modular degree for the optimal curve |
Δ |
-4080141881451603 = -1 · 33 · 118 · 893 |
Discriminant |
Eigenvalues |
0 3+ 0 2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39930,-4344717] |
[a1,a2,a3,a4,a6] |
Generators |
[909750270596:40234848125071:460099648] |
Generators of the group modulo torsion |
j |
-1216512000/704969 |
j-invariant |
L |
5.7258379864736 |
L(r)(E,1)/r! |
Ω |
0.16447706851213 |
Real period |
R |
17.406189319489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96921c2 96921i1 |
Quadratic twists by: -3 -11 |