Atkin-Lehner |
2+ 3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830c |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205440 |
Modular degree for the optimal curve |
Δ |
6135644160 = 215 · 33 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7500,251856] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-18:1] |
Generators of the group modulo torsion |
j |
1728129603240027/227246080 |
j-invariant |
L |
5.0992029065606 |
L(r)(E,1)/r! |
Ω |
1.2936735270237 |
Real period |
R |
1.9708229588877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998623975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830bt1 |
Quadratic twists by: -3 |