Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bf |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-5342513923201728 = -1 · 26 · 3 · 78 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250994,-48443772] |
[a1,a2,a3,a4,a6] |
Generators |
[354342:40561514:27] |
Generators of the group modulo torsion |
j |
-232245467895232/709540923 |
j-invariant |
L |
4.0129529965987 |
L(r)(E,1)/r! |
Ω |
0.1066287022908 |
Real period |
R |
9.4087072957857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152bu1 122304id2 8736z1 |
Quadratic twists by: -4 8 -7 |