Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3050h |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
468 |
Modular degree for the optimal curve |
Δ |
-3050 = -1 · 2 · 52 · 61 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 6 6 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,0,-3] |
[a1,a2,a3,a4,a6] |
j |
135/122 |
j-invariant |
L |
2.098096876404 |
L(r)(E,1)/r! |
Ω |
2.098096876404 |
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 |
24400r1 97600v1 27450k1 3050d1 |
Quadratic twists by: -4 8 -3 5 |