Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130i |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1512705361022874150 = -1 · 2 · 3 · 52 · 118 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,178688,51614686] |
[a1,a2,a3,a4,a6] |
Generators |
[587:18659:1] |
Generators of the group modulo torsion |
j |
13411719834479/32153832150 |
j-invariant |
L |
4.6595091639942 |
L(r)(E,1)/r! |
Ω |
0.18707319869246 |
Real period |
R |
3.1134264520799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000014762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330b6 |
Quadratic twists by: -19 |