Atkin-Lehner |
2- 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550j |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-1205596160000000 = -1 · 218 · 57 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-157755,-24135253] |
[a1,a2,a3,a4,a6] |
Generators |
[1099:33050:1] |
Generators of the group modulo torsion |
j |
-27787565801421369/77158154240 |
j-invariant |
L |
9.5478525495263 |
L(r)(E,1)/r! |
Ω |
0.11975723573525 |
Real period |
R |
2.2146313308931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15910c1 |
Quadratic twists by: 5 |