Atkin-Lehner |
2- 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bp |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-566494236 = -1 · 22 · 37 · 7 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131,-1249] |
[a1,a2,a3,a4,a6] |
j |
-338608873/777084 |
j-invariant |
L |
2.6394929467901 |
L(r)(E,1)/r! |
Ω |
0.65987323669999 |
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 |
13398j1 |
Quadratic twists by: -3 |