Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310h |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-203350495028770800 = -1 · 24 · 311 · 52 · 196 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12825,21706461] |
[a1,a2,a3,a4,a6] |
Generators |
[106:4587:1] |
Generators of the group modulo torsion |
j |
-320027539885201/278944437625200 |
j-invariant |
L |
5.5487552058466 |
L(r)(E,1)/r! |
Ω |
0.25613570861522 |
Real period |
R |
5.4158352575978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770bc1 |
Quadratic twists by: -3 |