Atkin-Lehner |
2- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400bc |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
121600 |
Modular degree for the optimal curve |
Δ |
-13023500000000 = -1 · 28 · 59 · 7 · 612 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 1 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6833,-275963] |
[a1,a2,a3,a4,a6] |
Generators |
[123:854:1] |
Generators of the group modulo torsion |
j |
-70575104/26047 |
j-invariant |
L |
4.9608435910197 |
L(r)(E,1)/r! |
Ω |
0.25779769059266 |
Real period |
R |
2.405395670806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85400k1 |
Quadratic twists by: 5 |