Atkin-Lehner |
2+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024d |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
304320 |
Modular degree for the optimal curve |
Δ |
-415889492680384 = -1 · 26 · 315 · 613 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 3 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16271,1259851] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1367:1] |
Generators of the group modulo torsion |
j |
-7444116555337216/6498273323131 |
j-invariant |
L |
2.6056992805179 |
L(r)(E,1)/r! |
Ω |
0.48598942532071 |
Real period |
R |
5.3616379196682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998048917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024i1 60512e1 |
Quadratic twists by: -4 8 |