Atkin-Lehner |
3+ 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19995d |
Isogeny class |
Conductor |
19995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1859535 = -1 · 32 · 5 · 312 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,30,30] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
2979767519/1859535 |
j-invariant |
L |
2.9202509293278 |
L(r)(E,1)/r! |
Ω |
1.6333804093123 |
Real period |
R |
1.7878572025713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59985h1 99975h1 |
Quadratic twists by: -3 5 |