Atkin-Lehner |
2- 3+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
69936l |
Isogeny class |
Conductor |
69936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
322265088 = 213 · 33 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 -2 -2 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,1408] |
[a1,a2,a3,a4,a6] |
Generators |
[2:30:1] |
Generators of the group modulo torsion |
j |
454756609/78678 |
j-invariant |
L |
6.6725449954521 |
L(r)(E,1)/r! |
Ω |
1.6363437632697 |
Real period |
R |
2.0388579545498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8742l1 |
Quadratic twists by: -4 |