Atkin-Lehner |
3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2745b |
Isogeny class |
Conductor |
2745 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-38781831796875 = -1 · 37 · 57 · 613 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 4 4 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4143,316714] |
[a1,a2,a3,a4,a6] |
j |
-10788001140736/53198671875 |
j-invariant |
L |
1.1233897768405 |
L(r)(E,1)/r! |
Ω |
0.56169488842024 |
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 |
43920bn1 915a1 13725f1 |
Quadratic twists by: -4 -3 5 |