Atkin-Lehner |
2- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650q |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
7794182656000000000 = 218 · 59 · 135 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39621930,-95985649303] |
[a1,a2,a3,a4,a6] |
j |
3522090751364680709661/3990621519872 |
j-invariant |
L |
2.1662979025974 |
L(r)(E,1)/r! |
Ω |
0.060174941738823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26650k1 |
Quadratic twists by: 5 |