Atkin-Lehner |
7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
108241f |
Isogeny class |
Conductor |
108241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10395648 |
Modular degree for the optimal curve |
Δ |
-383861752274249081 = -1 · 73 · 479 |
Discriminant |
Eigenvalues |
-1 3 -3 7- 1 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19032054,-31953035306] |
[a1,a2,a3,a4,a6] |
Generators |
[90760252057350212586417882907479702:49872762956116726001132032777849236403:299970369413596459412986655673] |
Generators of the group modulo torsion |
j |
-1986121593 |
j-invariant |
L |
7.5320532970703 |
L(r)(E,1)/r! |
Ω |
0.036140830843714 |
Real period |
R |
52.102103917046 |
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 |
108241g1 108241e1 |
Quadratic twists by: -7 -47 |