Atkin-Lehner |
2+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510c |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
109693440 |
Modular degree for the optimal curve |
Δ |
1.2634995775566E+28 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -3 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4090618149,100554809437616] |
[a1,a2,a3,a4,a6] |
Generators |
[93958544:17708342683:4096] |
Generators of the group modulo torsion |
j |
96664686423836461231369/161343848889500000 |
j-invariant |
L |
2.2567556455921 |
L(r)(E,1)/r! |
Ω |
0.03996982143384 |
Real period |
R |
9.4102482704657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999944524 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100510e1 |
Quadratic twists by: -23 |