Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3774g |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-34980551195904 = -1 · 28 · 32 · 177 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 5 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-152841,-23064507] |
[a1,a2,a3,a4,a6] |
j |
-394864202575558290457/34980551195904 |
j-invariant |
L |
1.9316431386593 |
L(r)(E,1)/r! |
Ω |
0.12072769616621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192bf1 120768bf1 11322bb1 94350cc1 |
Quadratic twists by: -4 8 -3 5 |