Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950cm |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4312000000 = 29 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11+ -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15630,755997] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-85:1] |
Generators of the group modulo torsion |
j |
551516475321/5632 |
j-invariant |
L |
4.5626796081549 |
L(r)(E,1)/r! |
Ω |
1.2503838568647 |
Real period |
R |
0.20272350691464 |
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 |
1078e1 26950bu1 |
Quadratic twists by: 5 -7 |