Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984j |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1154613354806016 = -1 · 28 · 33 · 76 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 1 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25023,-601299] |
[a1,a2,a3,a4,a6] |
Generators |
[572:14161:1] |
Generators of the group modulo torsion |
j |
57530252288/38336139 |
j-invariant |
L |
3.1603702807837 |
L(r)(E,1)/r! |
Ω |
0.27756147700081 |
Real period |
R |
1.1386199248303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19992bb1 119952bb1 816d1 |
Quadratic twists by: -4 -3 -7 |