Atkin-Lehner |
2- 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
127308d |
Isogeny class |
Conductor |
127308 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1272960 |
Modular degree for the optimal curve |
Δ |
-94454312864630016 = -1 · 28 · 3 · 1037 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 0 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38900,14475784] |
[a1,a2,a3,a4,a6] |
Generators |
[90405:2562946:125] |
Generators of the group modulo torsion |
j |
21296/309 |
j-invariant |
L |
5.0321978513895 |
L(r)(E,1)/r! |
Ω |
0.25074995325033 |
Real period |
R |
10.034294775837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999195329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1236b1 |
Quadratic twists by: -103 |