Atkin-Lehner |
2+ 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bg |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
3760985250000000 = 27 · 33 · 59 · 11 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40701,1129048] |
[a1,a2,a3,a4,a6] |
j |
3817627703189/1925624448 |
j-invariant |
L |
2.3463345793125 |
L(r)(E,1)/r! |
Ω |
0.39105576336138 |
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 |
61050bw1 |
Quadratic twists by: 5 |