Atkin-Lehner |
2+ 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050g |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108480 |
Modular degree for the optimal curve |
Δ |
262324218750 = 2 · 3 · 510 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2200,30250] |
[a1,a2,a3,a4,a6] |
j |
120670225/26862 |
j-invariant |
L |
1.8515681336516 |
L(r)(E,1)/r! |
Ω |
0.92578406520471 |
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 |
61050db1 |
Quadratic twists by: 5 |