Atkin-Lehner |
2- 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31518m |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
392589224644608 = 212 · 312 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22100,-825289] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:205:1] |
Generators of the group modulo torsion |
j |
1637399229189625/538531172352 |
j-invariant |
L |
9.275783427801 |
L(r)(E,1)/r! |
Ω |
0.40186102325255 |
Real period |
R |
1.9235056588978 |
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 |
10506d1 |
Quadratic twists by: -3 |