Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bl |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101760 |
Modular degree for the optimal curve |
Δ |
-1529842950 = -1 · 2 · 36 · 52 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -6 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1598,-24253] |
[a1,a2,a3,a4,a6] |
Generators |
[374:129:8] |
Generators of the group modulo torsion |
j |
-618688004761/2098550 |
j-invariant |
L |
7.2844427683725 |
L(r)(E,1)/r! |
Ω |
0.37749256552262 |
Real period |
R |
4.8242292902495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930c1 |
Quadratic twists by: -3 |