Atkin-Lehner |
3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2775d |
Isogeny class |
Conductor |
2775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-673650675 = -1 · 39 · 52 · 372 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 0 5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-788,8873] |
[a1,a2,a3,a4,a6] |
j |
-2167271772160/26946027 |
j-invariant |
L |
3.2396288632091 |
L(r)(E,1)/r! |
Ω |
1.6198144316045 |
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 |
44400co1 8325y1 2775j1 102675f1 |
Quadratic twists by: -4 -3 5 37 |