Atkin-Lehner |
2- 3+ 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bb |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-703076760000 = -1 · 26 · 39 · 54 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1298,44497] |
[a1,a2,a3,a4,a6] |
Generators |
[7:185:1] |
Generators of the group modulo torsion |
j |
-12278428443/35720000 |
j-invariant |
L |
8.3643699481416 |
L(r)(E,1)/r! |
Ω |
0.79617935767341 |
Real period |
R |
1.7509392130824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370c1 |
Quadratic twists by: -3 |