Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cm |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
3193257852928 = 224 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 1 0 -2 11- 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,-49601] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:88:1] |
Generators of the group modulo torsion |
j |
1890625/832 |
j-invariant |
L |
6.7790429762036 |
L(r)(E,1)/r! |
Ω |
0.62384573684918 |
Real period |
R |
1.811089547337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672o1 25168bm1 100672dl1 |
Quadratic twists by: -4 8 -11 |