Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950m |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-905897300 = -1 · 22 · 52 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11+ -2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,220,820] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-52:1] [14:76:1] |
Generators of the group modulo torsion |
j |
397535/308 |
j-invariant |
L |
5.0610688862365 |
L(r)(E,1)/r! |
Ω |
1.0104722704233 |
Real period |
R |
0.62607716143926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26950dc1 3850a1 |
Quadratic twists by: 5 -7 |