Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700r |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1298880 |
Modular degree for the optimal curve |
Δ |
2545380956250000 = 24 · 311 · 58 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4968958,-4261645463] |
[a1,a2,a3,a4,a6] |
j |
2170899706248160000/407260953 |
j-invariant |
L |
1.8201439022872 |
L(r)(E,1)/r! |
Ω |
0.10111910587818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700bf1 |
Quadratic twists by: 5 |