Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bp |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1393437500 = -1 · 22 · 57 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,120,-1753] |
[a1,a2,a3,a4,a6] |
Generators |
[905:26763:1] |
Generators of the group modulo torsion |
j |
35937/260 |
j-invariant |
L |
8.3095794082274 |
L(r)(E,1)/r! |
Ω |
0.75596434574533 |
Real period |
R |
5.4960127782445 |
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 |
6370d1 31850bv1 |
Quadratic twists by: 5 -7 |