Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640k |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-173280000 = -1 · 28 · 3 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 0 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2020,35632] |
[a1,a2,a3,a4,a6] |
Generators |
[24:20:1] |
Generators of the group modulo torsion |
j |
-9868374736/1875 |
j-invariant |
L |
6.717882302528 |
L(r)(E,1)/r! |
Ω |
1.753994869813 |
Real period |
R |
0.47875584040043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320p1 86640w1 |
Quadratic twists by: -4 -19 |