Atkin-Lehner |
2+ 3- 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
100890l |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
971275386091680000 = 28 · 37 · 54 · 196 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-349974,-63960332] |
[a1,a2,a3,a4,a6] |
j |
6502857326869953889/1332339349920000 |
j-invariant |
L |
3.1858026107859 |
L(r)(E,1)/r! |
Ω |
0.19911268256131 |
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 |
33630g1 |
Quadratic twists by: -3 |