Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
95316d |
Isogeny class |
Conductor |
95316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-2786338359610416 = -1 · 24 · 310 · 137 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20731,2258034] |
[a1,a2,a3,a4,a6] |
Generators |
[-5600870:265539708:205379] |
Generators of the group modulo torsion |
j |
12758024192/36078939 |
j-invariant |
L |
3.4239583320294 |
L(r)(E,1)/r! |
Ω |
0.31864645683741 |
Real period |
R |
10.74532061658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999707184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7332b1 |
Quadratic twists by: 13 |