Atkin-Lehner |
7- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
55517d |
Isogeny class |
Conductor |
55517 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2423808 |
Modular degree for the optimal curve |
Δ |
-1.9003423846255E+20 |
Discriminant |
Eigenvalues |
-2 -1 -3 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,377578,-657331578] |
[a1,a2,a3,a4,a6] |
j |
50600448584142848/1615264375069499 |
j-invariant |
L |
0.34580529208406 |
L(r)(E,1)/r! |
Ω |
0.086451324195605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7931a1 |
Quadratic twists by: -7 |