Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968de |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5198086253018736 = -1 · 24 · 39 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42471,826551] |
[a1,a2,a3,a4,a6] |
Generators |
[22:1331:1] [3102:173151:1] |
Generators of the group modulo torsion |
j |
15185664/9317 |
j-invariant |
L |
10.365585099779 |
L(r)(E,1)/r! |
Ω |
0.26544455939558 |
Real period |
R |
4.881238251449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492d2 121968dd1 11088ba2 |
Quadratic twists by: -4 -3 -11 |