Atkin-Lehner |
2+ 3+ 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274f |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-5857042603036968 = -1 · 23 · 37 · 75 · 172 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -3 -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-96686,-12183684] |
[a1,a2,a3,a4,a6] |
Generators |
[361:168:1] |
Generators of the group modulo torsion |
j |
-99958909769534803177/5857042603036968 |
j-invariant |
L |
1.9464690141614 |
L(r)(E,1)/r! |
Ω |
0.13491334425764 |
Real period |
R |
2.4045916595227 |
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 |
87822ba1 |
Quadratic twists by: -3 |