Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
29880n |
Isogeny class |
Conductor |
29880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-12862360234800 = -1 · 24 · 318 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4038,-141491] |
[a1,a2,a3,a4,a6] |
Generators |
[78:805:1] |
Generators of the group modulo torsion |
j |
624273852416/1102740075 |
j-invariant |
L |
5.4443678481929 |
L(r)(E,1)/r! |
Ω |
0.37241192809473 |
Real period |
R |
3.6548022750281 |
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 |
59760l1 9960c1 |
Quadratic twists by: -4 -3 |