Atkin-Lehner |
3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2775b |
Isogeny class |
Conductor |
2775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-3248701171875 = -1 · 35 · 510 · 372 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -2 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2083,-93432] |
[a1,a2,a3,a4,a6] |
j |
-102400000/332667 |
j-invariant |
L |
0.65095126002242 |
L(r)(E,1)/r! |
Ω |
0.32547563001121 |
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 |
44400cp1 8325u1 2775h1 102675a1 |
Quadratic twists by: -4 -3 5 37 |