Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950d |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
7.9976595456E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26684817,31051125341] |
[a1,a2,a3,a4,a6] |
Generators |
[38671348654:1598021125673:6967871] |
Generators of the group modulo torsion |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
3.1716831558407 |
L(r)(E,1)/r! |
Ω |
0.081606559794493 |
Real period |
R |
9.716385434663 |
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 |
111600ct1 13950bt1 2790n1 |
Quadratic twists by: -4 -3 5 |