Atkin-Lehner |
2- 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
91980bg |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
894720 |
Modular degree for the optimal curve |
Δ |
-3434565576960 = -1 · 28 · 37 · 5 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1499007,-706404746] |
[a1,a2,a3,a4,a6] |
Generators |
[1048876589296423930:60497817688594696572:277946476374581] |
Generators of the group modulo torsion |
j |
-1996030628883764944/18403665 |
j-invariant |
L |
7.9700057305314 |
L(r)(E,1)/r! |
Ω |
0.068221088350133 |
Real period |
R |
29.206532478736 |
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 |
30660n1 |
Quadratic twists by: -3 |