Atkin-Lehner |
2+ 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010g |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-16740675993600 = -1 · 214 · 33 · 52 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21549,-1227995] |
[a1,a2,a3,a4,a6] |
j |
-40987614972251403/620025036800 |
j-invariant |
L |
1.5747490890612 |
L(r)(E,1)/r! |
Ω |
0.196843635432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010bc1 |
Quadratic twists by: -3 |