Atkin-Lehner |
5+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10865a |
Isogeny class |
Conductor |
10865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
876096 |
Modular degree for the optimal curve |
Δ |
-6.1463751165283E+19 |
Discriminant |
Eigenvalues |
-1 -3 5+ -4 6 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2099898,1231003206] |
[a1,a2,a3,a4,a6] |
Generators |
[810:7407:1] |
Generators of the group modulo torsion |
j |
-1024042822584020867289969/61463751165283203125 |
j-invariant |
L |
1.5154989477609 |
L(r)(E,1)/r! |
Ω |
0.19421556049264 |
Real period |
R |
1.9507949619442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97785i1 54325a1 |
Quadratic twists by: -3 5 |