Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ct |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
143121420288 = 212 · 33 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19273,1023287] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1176:1] |
Generators of the group modulo torsion |
j |
1643032000/297 |
j-invariant |
L |
8.9318909495379 |
L(r)(E,1)/r! |
Ω |
1.0012514607403 |
Real period |
R |
1.4867878336656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bp1 51744cb1 2112b1 |
Quadratic twists by: -4 8 -7 |