Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080a |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-9185525760 = -1 · 223 · 3 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,479,-2399] |
[a1,a2,a3,a4,a6] |
Generators |
[48:359:1] |
Generators of the group modulo torsion |
j |
46268279/35040 |
j-invariant |
L |
5.9441148249055 |
L(r)(E,1)/r! |
Ω |
0.72532291730561 |
Real period |
R |
4.0975644666562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080ca1 2190e1 |
Quadratic twists by: -4 8 |