Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26800d |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-167500000000 = -1 · 28 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 4 0 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-22037] |
[a1,a2,a3,a4,a6] |
Generators |
[31396:694819:64] |
Generators of the group modulo torsion |
j |
-25600/67 |
j-invariant |
L |
3.7210326005985 |
L(r)(E,1)/r! |
Ω |
0.41305669141808 |
Real period |
R |
9.0085275893334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400n1 107200cr1 26800p1 |
Quadratic twists by: -4 8 5 |