Atkin-Lehner |
2- 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38352t |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1019904 |
Modular degree for the optimal curve |
Δ |
-193380050373378048 = -1 · 216 · 32 · 178 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 4 4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5345328,4755008340] |
[a1,a2,a3,a4,a6] |
j |
-4123698682768504296625/47211926360688 |
j-invariant |
L |
4.6232749718915 |
L(r)(E,1)/r! |
Ω |
0.28895468574249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794f1 115056w1 |
Quadratic twists by: -4 -3 |