Atkin-Lehner |
7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39347c |
Isogeny class |
Conductor |
39347 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.2561402628023E+24 |
Discriminant |
Eigenvalues |
0 -1 1 7- 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,24513165,26927548290] |
[a1,a2,a3,a4,a6] |
j |
13846296264235444699136/10677016063054858979 |
j-invariant |
L |
0.22105465660734 |
L(r)(E,1)/r! |
Ω |
0.055263664153761 |
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 |
5621b1 |
Quadratic twists by: -7 |