Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cv |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-128865514291200000 = -1 · 221 · 312 · 55 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -5 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116628,7954864] |
[a1,a2,a3,a4,a6] |
Generators |
[518:14400:1] |
Generators of the group modulo torsion |
j |
918046641959/674325000 |
j-invariant |
L |
8.2981733702696 |
L(r)(E,1)/r! |
Ω |
0.20994221904258 |
Real period |
R |
0.98814966869703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fx1 3330r1 35520y1 |
Quadratic twists by: -4 8 -3 |