Atkin-Lehner |
2- 3+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170m |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-221243649960937500 = -1 · 22 · 35 · 510 · 133 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-203461,-42036217] |
[a1,a2,a3,a4,a6] |
Generators |
[9609695007:258110120698:9663597] |
Generators of the group modulo torsion |
j |
-931466777614122164689/221243649960937500 |
j-invariant |
L |
7.8489100815114 |
L(r)(E,1)/r! |
Ω |
0.11100024489937 |
Real period |
R |
11.785124271004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120510k1 |
Quadratic twists by: -3 |