Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bw |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
185760 |
Modular degree for the optimal curve |
Δ |
-13773871800 = -1 · 23 · 36 · 52 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 5 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39668,3050831] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-63:1] |
Generators of the group modulo torsion |
j |
-9469059237951481/18894200 |
j-invariant |
L |
6.8261577811196 |
L(r)(E,1)/r! |
Ω |
1.078559988202 |
Real period |
R |
1.0548258566615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590b1 |
Quadratic twists by: -3 |