Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84280j |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-13484800000 = -1 · 211 · 55 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2387,-45234] |
[a1,a2,a3,a4,a6] |
Generators |
[466:925:8] |
Generators of the group modulo torsion |
j |
-14988388338/134375 |
j-invariant |
L |
6.6818341218896 |
L(r)(E,1)/r! |
Ω |
0.34132975947116 |
Real period |
R |
3.9151781765338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280a1 |
Quadratic twists by: -7 |