Atkin-Lehner |
2- 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94350cc |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-546571112436000000 = -1 · 28 · 32 · 56 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3821038,-2875421308] |
[a1,a2,a3,a4,a6] |
j |
-394864202575558290457/34980551195904 |
j-invariant |
L |
6.0469993880003 |
L(r)(E,1)/r! |
Ω |
0.053991067078917 |
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 |
3774g1 |
Quadratic twists by: 5 |