Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bq |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
9153506250000 = 24 · 36 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7917,230741] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:483:1] [-538:5669:8] |
Generators of the group modulo torsion |
j |
4818245769/803600 |
j-invariant |
L |
9.0690334841713 |
L(r)(E,1)/r! |
Ω |
0.69725713864373 |
Real period |
R |
1.6258409179528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999927644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350q1 25830bh1 |
Quadratic twists by: -3 5 |