Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
61206a |
Isogeny class |
Conductor |
61206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1020000 |
Modular degree for the optimal curve |
Δ |
-833692449798410976 = -1 · 25 · 35 · 1017 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-918302,341163348] |
[a1,a2,a3,a4,a6] |
Generators |
[36222:2368923:8] |
Generators of the group modulo torsion |
j |
-80677568161/785376 |
j-invariant |
L |
4.569831461606 |
L(r)(E,1)/r! |
Ω |
0.28326345294808 |
Real period |
R |
4.0331989653426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
606f1 |
Quadratic twists by: 101 |