Atkin-Lehner |
2- 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080bk |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-45769249121587200 = -1 · 212 · 310 · 52 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61280,11854272] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:2430:1] |
Generators of the group modulo torsion |
j |
-6213368639092321/11174133086325 |
j-invariant |
L |
4.9157186150267 |
L(r)(E,1)/r! |
Ω |
0.3208094470772 |
Real period |
R |
1.915357611849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000170326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7755i1 |
Quadratic twists by: -4 |