Atkin-Lehner |
2- 3+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170n |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
39488716800 = 217 · 32 · 52 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24511,1466789] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-510:1] |
Generators of the group modulo torsion |
j |
1628575546339083889/39488716800 |
j-invariant |
L |
6.1632991615747 |
L(r)(E,1)/r! |
Ω |
1.0648396565411 |
Real period |
R |
0.085117746901477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510o1 |
Quadratic twists by: -3 |