Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760v |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
17877675240000 = 26 · 312 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6573,26228] |
[a1,a2,a3,a4,a6] |
Generators |
[1093:36036:1] |
Generators of the group modulo torsion |
j |
673142647744/383180625 |
j-invariant |
L |
6.6209552191279 |
L(r)(E,1)/r! |
Ω |
0.592961841402 |
Real period |
R |
5.5829521875093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41760b1 83520de2 13920h1 |
Quadratic twists by: -4 8 -3 |