Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bm |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
-60486821853308928 = -1 · 211 · 39 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51909,10922186] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-4356:1] |
Generators of the group modulo torsion |
j |
48334/189 |
j-invariant |
L |
2.922649696664 |
L(r)(E,1)/r! |
Ω |
0.24997331106465 |
Real period |
R |
0.48716029041641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984ci1 40656j1 121968ce1 |
Quadratic twists by: -4 -3 -11 |