Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640l |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
336856320 = 28 · 36 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785,-8163] |
[a1,a2,a3,a4,a6] |
Generators |
[212:3051:1] |
Generators of the group modulo torsion |
j |
579613696/3645 |
j-invariant |
L |
6.8218296660363 |
L(r)(E,1)/r! |
Ω |
0.90219532261273 |
Real period |
R |
3.7806833462634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320bh1 86640x1 |
Quadratic twists by: -4 -19 |