Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090ck |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
3648 |
Product of Tamagawa factors cp |
deg |
29417472 |
Modular degree for the optimal curve |
Δ |
-1.0162967768614E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18199635,-156271641135] |
[a1,a2,a3,a4,a6] |
Generators |
[53603:12337998:1] |
Generators of the group modulo torsion |
j |
-54793398764598642332423/835289534693376000000 |
j-invariant |
L |
10.315932976139 |
L(r)(E,1)/r! |
Ω |
0.031031192151369 |
Real period |
R |
0.36451483929452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090bo1 |
Quadratic twists by: -23 |