Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800be |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-4288000000 = -1 · 212 · 56 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4933,131763] |
[a1,a2,a3,a4,a6] |
Generators |
[38:25:1] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
3.0611906739086 |
L(r)(E,1)/r! |
Ω |
1.355043063066 |
Real period |
R |
1.1295547563567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1675c1 107200ca1 1072a1 |
Quadratic twists by: -4 8 5 |