Atkin-Lehner |
2- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
121024ba |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-14767824830464 = -1 · 218 · 314 · 61 |
Discriminant |
Eigenvalues |
2- 2 3 -3 -3 -5 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5791,71681] |
[a1,a2,a3,a4,a6] |
Generators |
[55:744:1] [2845:151776:1] |
Generators of the group modulo torsion |
j |
81916141607/56334781 |
j-invariant |
L |
17.164226077453 |
L(r)(E,1)/r! |
Ω |
0.44286702318463 |
Real period |
R |
2.4223165738347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024f1 30256i1 |
Quadratic twists by: -4 8 |