Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950cg |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
168437500000 = 25 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3438,-76469] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:67:1] |
Generators of the group modulo torsion |
j |
5869932649/220000 |
j-invariant |
L |
6.4048746490016 |
L(r)(E,1)/r! |
Ω |
0.62491806610751 |
Real period |
R |
1.0249143041897 |
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 |
5390o1 26950br1 |
Quadratic twists by: 5 -7 |