Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560ce |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
630336000000 = 212 · 3 · 56 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2616,33684] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:210:1] |
Generators of the group modulo torsion |
j |
483551781049/153890625 |
j-invariant |
L |
7.956947498354 |
L(r)(E,1)/r! |
Ω |
0.84346314905089 |
Real period |
R |
2.3584158654624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035b1 |
Quadratic twists by: -4 |