Atkin-Lehner |
3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975bd |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-8562858290496421875 = -1 · 36 · 56 · 197 · 292 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 3 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-534675,206073031] |
[a1,a2,a3,a4,a6] |
Generators |
[2018:74723:8] |
Generators of the group modulo torsion |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
16.461197075833 |
L(r)(E,1)/r! |
Ω |
0.21627180652889 |
Real period |
R |
2.7183381136655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13775f1 4959g1 |
Quadratic twists by: -3 5 |