Atkin-Lehner |
2- 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
26910bc |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-63070312500 = -1 · 22 · 33 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-217772,-39061181] |
[a1,a2,a3,a4,a6] |
j |
-42302321087052649923/2335937500 |
j-invariant |
L |
3.9780634353402 |
L(r)(E,1)/r! |
Ω |
0.11050176209279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26910e1 |
Quadratic twists by: -3 |