Atkin-Lehner |
2+ 3- 5+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
92430o |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
-8759591100000000 = -1 · 28 · 38 · 58 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7470,4511700] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4374:1] |
Generators of the group modulo torsion |
j |
-63239829700321/12015900000000 |
j-invariant |
L |
4.8052461280577 |
L(r)(E,1)/r! |
Ω |
0.3365255001024 |
Real period |
R |
3.5697488933092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30810bl1 |
Quadratic twists by: -3 |