Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840c |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84992 |
Modular degree for the optimal curve |
Δ |
-963952640 = -1 · 214 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 3 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-208,-1888] |
[a1,a2,a3,a4,a6] |
Generators |
[5614947:94710779:19683] |
Generators of the group modulo torsion |
j |
-60742656/58835 |
j-invariant |
L |
12.602426280664 |
L(r)(E,1)/r! |
Ω |
0.60472942224763 |
Real period |
R |
10.419888497087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91840bd1 11480g1 |
Quadratic twists by: -4 8 |