Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898c |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1770912 |
Modular degree for the optimal curve |
Δ |
-6.5012622508018E+20 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11+ 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2375918,1869253634] |
[a1,a2,a3,a4,a6] |
Generators |
[6901403:319338760:12167] |
Generators of the group modulo torsion |
j |
-4563/2 |
j-invariant |
L |
3.0360459233486 |
L(r)(E,1)/r! |
Ω |
0.15147744042257 |
Real period |
R |
10.021445816894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898bd1 40898bc1 |
Quadratic twists by: -11 13 |