Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26800b |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-2617187500000000 = -1 · 28 · 516 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 2 -6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100700,12543500] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:4925:1] |
Generators of the group modulo torsion |
j |
-28232681739264/654296875 |
j-invariant |
L |
4.104563887418 |
L(r)(E,1)/r! |
Ω |
0.45532485751357 |
Real period |
R |
4.5072916838235 |
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 |
13400d1 107200ck1 5360c1 |
Quadratic twists by: -4 8 5 |