Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960bt |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
54967358160 = 24 · 37 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1002,-4669] |
[a1,a2,a3,a4,a6] |
Generators |
[35:56:1] |
Generators of the group modulo torsion |
j |
9538484224/4712565 |
j-invariant |
L |
6.9992462697918 |
L(r)(E,1)/r! |
Ω |
0.89262115510722 |
Real period |
R |
3.9206141395511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51480bs1 34320a1 |
Quadratic twists by: -4 -3 |