Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610n |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-66635025030000 = -1 · 24 · 310 · 54 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,216,392688] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-636:1] |
Generators of the group modulo torsion |
j |
1524845951/91406070000 |
j-invariant |
L |
4.743840929603 |
L(r)(E,1)/r! |
Ω |
0.48952969775454 |
Real period |
R |
0.30283153346996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870s1 |
Quadratic twists by: -3 |