Atkin-Lehner |
2+ 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8930c |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3392 |
Modular degree for the optimal curve |
Δ |
-2098550 = -1 · 2 · 52 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 6 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-178,898] |
[a1,a2,a3,a4,a6] |
Generators |
[2:22:1] |
Generators of the group modulo torsion |
j |
-618688004761/2098550 |
j-invariant |
L |
3.8252708771834 |
L(r)(E,1)/r! |
Ω |
2.6216424421986 |
Real period |
R |
0.36477808869079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71440n1 80370bl1 44650o1 |
Quadratic twists by: -4 -3 5 |