Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070bd |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
479520 |
Modular degree for the optimal curve |
Δ |
-94836945255867000 = -1 · 23 · 33 · 53 · 378 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,112914,2510460] |
[a1,a2,a3,a4,a6] |
Generators |
[-9924954:9039726594:5929741] |
Generators of the group modulo torsion |
j |
45326591/27000 |
j-invariant |
L |
9.3196853788612 |
L(r)(E,1)/r! |
Ω |
0.20640498733118 |
Real period |
R |
15.050807798405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123210bq1 41070o1 |
Quadratic twists by: -3 37 |