Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430dj |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-234693399780000 = -1 · 25 · 39 · 54 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -6 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37127,2859679] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6026:1] |
Generators of the group modulo torsion |
j |
-5868065424123/243340000 |
j-invariant |
L |
9.6251633034064 |
L(r)(E,1)/r! |
Ω |
0.55265364606038 |
Real period |
R |
0.14513555594139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430d1 101430cu1 |
Quadratic twists by: -3 -7 |