Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275gj |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-410275219921875 = -1 · 311 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5250,-985469] |
[a1,a2,a3,a4,a6] |
Generators |
[331:5791:1] |
Generators of the group modulo torsion |
j |
-1146880/29403 |
j-invariant |
L |
4.2777495473231 |
L(r)(E,1)/r! |
Ω |
0.23053992827175 |
Real period |
R |
2.3194190262943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999525239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425be1 121275dv1 121275fc1 |
Quadratic twists by: -3 5 -7 |