Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430k |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
138642131250 = 2 · 39 · 55 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1689,-19405] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:82:1] |
Generators of the group modulo torsion |
j |
552675123/143750 |
j-invariant |
L |
5.4700091158707 |
L(r)(E,1)/r! |
Ω |
0.75905109997932 |
Real period |
R |
0.72063779365869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430cy1 101430a1 |
Quadratic twists by: -3 -7 |