Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086c |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-85473880884 = -1 · 22 · 33 · 77 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-645,15577] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:155:1] |
Generators of the group modulo torsion |
j |
-1144707147/3294172 |
j-invariant |
L |
3.4465425795053 |
L(r)(E,1)/r! |
Ω |
0.94932152384592 |
Real period |
R |
0.12966187152518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086t1 121086a1 |
Quadratic twists by: -3 -31 |