Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26640bo |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4770661158113771520 = -1 · 221 · 38 · 5 · 375 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26427,105099626] |
[a1,a2,a3,a4,a6] |
j |
-683565019129/1597684769280 |
j-invariant |
L |
0.78399057643132 |
L(r)(E,1)/r! |
Ω |
0.19599764410781 |
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 |
3330v1 106560ev1 8880j1 |
Quadratic twists by: -4 8 -3 |