Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950cn |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-6675684595507812500 = -1 · 22 · 511 · 710 · 112 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11+ -6 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-611505,-221949003] |
[a1,a2,a3,a4,a6] |
Generators |
[10422:270885:8] |
Generators of the group modulo torsion |
j |
-5729578281/1512500 |
j-invariant |
L |
4.0809043995467 |
L(r)(E,1)/r! |
Ω |
0.084200885347955 |
Real period |
R |
6.058286060002 |
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 |
5390e1 26950bv1 |
Quadratic twists by: 5 -7 |