Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320f |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
33810000 = 24 · 3 · 54 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1135,15100] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:165:1] |
Generators of the group modulo torsion |
j |
10115186538496/2113125 |
j-invariant |
L |
4.671505322598 |
L(r)(E,1)/r! |
Ω |
2.0134238661515 |
Real period |
R |
2.3201797699593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640y1 57960bq1 96600bz1 |
Quadratic twists by: -4 -3 5 |