Atkin-Lehner |
2- 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570by |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
743863626562500 = 22 · 39 · 58 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118697,-15655579] |
[a1,a2,a3,a4,a6] |
Generators |
[2211:101494:1] |
Generators of the group modulo torsion |
j |
253695042842616649/1020389062500 |
j-invariant |
L |
13.43311562725 |
L(r)(E,1)/r! |
Ω |
0.25727345542274 |
Real period |
R |
1.6316679960052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190l1 |
Quadratic twists by: -3 |