Atkin-Lehner |
2+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26702b |
Isogeny class |
Conductor |
26702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1525271644 = -1 · 22 · 136 · 79 |
Discriminant |
Eigenvalues |
2+ 2 2 0 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,166,1760] |
[a1,a2,a3,a4,a6] |
Generators |
[759:4268:27] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
7.0039934103695 |
L(r)(E,1)/r! |
Ω |
1.0630359282051 |
Real period |
R |
3.2943352263718 |
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 |
158e1 |
Quadratic twists by: 13 |