Atkin-Lehner |
2+ 5- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126160c |
Isogeny class |
Conductor |
126160 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
878080 |
Modular degree for the optimal curve |
Δ |
-46817187500000000 = -1 · 28 · 514 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 5 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6260,10409900] |
[a1,a2,a3,a4,a6] |
Generators |
[530:12500:1] |
Generators of the group modulo torsion |
j |
-105992740376656/182879638671875 |
j-invariant |
L |
10.678904405255 |
L(r)(E,1)/r! |
Ω |
0.28850511432656 |
Real period |
R |
0.66097518476896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63080b1 |
Quadratic twists by: -4 |