Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430cx |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
654740927997649920 = 210 · 39 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-694658,-219245183] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:1199:1] |
Generators of the group modulo torsion |
j |
16008724040427/282741760 |
j-invariant |
L |
8.3123768096413 |
L(r)(E,1)/r! |
Ω |
0.16554737551238 |
Real period |
R |
2.5105734138477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430q1 14490bh1 |
Quadratic twists by: -3 -7 |