Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200da |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-107200000000 = -1 · 212 · 58 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1833,33463] |
[a1,a2,a3,a4,a6] |
Generators |
[33:100:1] |
Generators of the group modulo torsion |
j |
-425920/67 |
j-invariant |
L |
4.9020390410511 |
L(r)(E,1)/r! |
Ω |
1.0204749945724 |
Real period |
R |
0.80061394503886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999464354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200dl1 53600j1 107200cp1 |
Quadratic twists by: -4 8 5 |