Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
68200t |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-901177750000 = -1 · 24 · 56 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 11+ 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2975,77375] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:341:1] |
Generators of the group modulo torsion |
j |
-11647819008/3604711 |
j-invariant |
L |
7.7069173474259 |
L(r)(E,1)/r! |
Ω |
0.83812915691533 |
Real period |
R |
0.76628179209241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2728c1 |
Quadratic twists by: 5 |