Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fy |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138378240 |
Modular degree for the optimal curve |
Δ |
-3.8393993790202E+29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,945913749,-27629030719334] |
[a1,a2,a3,a4,a6] |
Generators |
[366466091093397541549987440318834914144779:12883009488346407614024876938133409615546666:17819233123147088603370578144732222549] |
Generators of the group modulo torsion |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
7.3574608510779 |
L(r)(E,1)/r! |
Ω |
0.015231700577116 |
Real period |
R |
60.379509282533 |
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 |
15246bh1 40656di1 121968el1 |
Quadratic twists by: -4 -3 -11 |