Atkin-Lehner |
3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775x |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-4.3290834248708E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 11+ -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-636465,372030151] |
[a1,a2,a3,a4,a6] |
j |
-1564515081195335680/2375354416938723 |
j-invariant |
L |
2.9155916702723 |
L(r)(E,1)/r! |
Ω |
0.18222447965421 |
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 |
23925i1 71775bs1 |
Quadratic twists by: -3 5 |