Atkin-Lehner |
2+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50752d |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
-4286073798656 = -1 · 219 · 133 · 612 |
Discriminant |
Eigenvalues |
2+ -3 -3 -3 -2 13- -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3956,27376] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-416:1] [8:244:1] |
Generators of the group modulo torsion |
j |
26118765063/16350074 |
j-invariant |
L |
3.8792511238675 |
L(r)(E,1)/r! |
Ω |
0.48215895716564 |
Real period |
R |
0.33523272997926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50752k1 1586b1 |
Quadratic twists by: -4 8 |