Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968w |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-28459506029746176 = -1 · 211 · 33 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49731,-9170590] |
[a1,a2,a3,a4,a6] |
Generators |
[517:-10164:1] |
Generators of the group modulo torsion |
j |
-138853062/290521 |
j-invariant |
L |
4.2663909304896 |
L(r)(E,1)/r! |
Ω |
0.14994191444709 |
Real period |
R |
0.88917576457347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984f2 121968u2 11088c2 |
Quadratic twists by: -4 -3 -11 |