Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bd |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
51397097638118400 = 210 · 310 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371307,-86400106] |
[a1,a2,a3,a4,a6] |
Generators |
[1438:48510:1] |
Generators of the group modulo torsion |
j |
7583953079862436/68851136025 |
j-invariant |
L |
6.9470444991059 |
L(r)(E,1)/r! |
Ω |
0.19351035386862 |
Real period |
R |
2.9916764832026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680bu2 14280bf2 |
Quadratic twists by: -4 -3 |