Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950cj |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-761270796055000000 = -1 · 26 · 57 · 712 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1119063,-457671383] |
[a1,a2,a3,a4,a6] |
Generators |
[1292:15279:1] |
Generators of the group modulo torsion |
j |
-84309998289049/414124480 |
j-invariant |
L |
5.3110580457908 |
L(r)(E,1)/r! |
Ω |
0.07337165673603 |
Real period |
R |
3.0160704430791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390p1 3850o1 |
Quadratic twists by: 5 -7 |