Atkin-Lehner |
2+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1870a |
Isogeny class |
Conductor |
1870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-10172800000 = -1 · 210 · 55 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,535,-1075] |
[a1,a2,a3,a4,a6] |
j |
16917195186711/10172800000 |
j-invariant |
L |
0.74920243112617 |
L(r)(E,1)/r! |
Ω |
0.74920243112617 |
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 |
14960j1 59840r1 16830ct1 9350r1 |
Quadratic twists by: -4 8 -3 5 |