Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3774c |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-12794683171014324 = -1 · 22 · 36 · 179 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 5 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18562,-5346696] |
[a1,a2,a3,a4,a6] |
j |
707231276910755351/12794683171014324 |
j-invariant |
L |
0.77796129916539 |
L(r)(E,1)/r! |
Ω |
0.19449032479135 |
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 |
30192ba1 120768z1 11322w1 94350cb1 |
Quadratic twists by: -4 8 -3 5 |