Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
26910i |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-7693513311941437500 = -1 · 22 · 38 · 56 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-446715,176224081] |
[a1,a2,a3,a4,a6] |
j |
-13523476093748990641/10553516202937500 |
j-invariant |
L |
1.7208523428249 |
L(r)(E,1)/r! |
Ω |
0.21510654285322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970n1 |
Quadratic twists by: -3 |