Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cl |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
132149787661687500 = 22 · 33 · 56 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7611263,-8085419719] |
[a1,a2,a3,a4,a6] |
Generators |
[46812393423859:-8000140809658108:1597509809] |
Generators of the group modulo torsion |
j |
21081759765625/57132 |
j-invariant |
L |
8.7693251840068 |
L(r)(E,1)/r! |
Ω |
0.090894047470499 |
Real period |
R |
24.119635515964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3174d2 3450r2 |
Quadratic twists by: 5 -23 |