Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950bo |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-94426675107570000 = -1 · 24 · 32 · 54 · 135 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,99337,-8523619] |
[a1,a2,a3,a4,a6] |
Generators |
[825:24802:1] |
Generators of the group modulo torsion |
j |
173450893644264575/151082680172112 |
j-invariant |
L |
9.4229293037325 |
L(r)(E,1)/r! |
Ω |
0.18611529170451 |
Real period |
R |
1.0547818256279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79950w1 |
Quadratic twists by: 5 |