Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
78141g |
Isogeny class |
Conductor |
78141 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-44305947 = -1 · 35 · 72 · 612 |
Discriminant |
Eigenvalues |
0 3- 0 7- 4 -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-813,-9205] |
[a1,a2,a3,a4,a6] |
Generators |
[33:31:1] |
Generators of the group modulo torsion |
j |
-15990784000/11907 |
j-invariant |
L |
7.2264555367777 |
L(r)(E,1)/r! |
Ω |
0.44697478307465 |
Real period |
R |
1.6167479263639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78141e1 |
Quadratic twists by: 61 |