Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20292c |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-137501879872176 = -1 · 24 · 34 · 19 · 895 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 -3 -3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,223,-564246] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2403:1] |
Generators of the group modulo torsion |
j |
76307873792/8593867492011 |
j-invariant |
L |
2.6803692913719 |
L(r)(E,1)/r! |
Ω |
0.26806844518813 |
Real period |
R |
0.33329414427358 |
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 |
81168ct1 60876j1 |
Quadratic twists by: -4 -3 |