Atkin-Lehner |
2+ 3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482o |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14699520 |
Modular degree for the optimal curve |
Δ |
2.7974919719824E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4985187,3444478605] |
[a1,a2,a3,a4,a6] |
Generators |
[-16644494:-235081529:6859] |
Generators of the group modulo torsion |
j |
116460853789426567849/23778289420075008 |
j-invariant |
L |
3.2107467671894 |
L(r)(E,1)/r! |
Ω |
0.13570553852416 |
Real period |
R |
5.9149148308451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998673574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926u1 |
Quadratic twists by: -7 |