Atkin-Lehner |
3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453k |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-4739652202971 = -1 · 3 · 711 · 17 · 47 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 2 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4867,-165873] |
[a1,a2,a3,a4,a6] |
j |
-108394872832/40286379 |
j-invariant |
L |
1.1223484925702 |
L(r)(E,1)/r! |
Ω |
0.28058708219936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16779k1 |
Quadratic twists by: -7 |