Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800c |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-53000000 = -1 · 26 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[33:200:1] |
Generators of the group modulo torsion |
j |
85184/53 |
j-invariant |
L |
4.6883891301401 |
L(r)(E,1)/r! |
Ω |
1.1501634023077 |
Real period |
R |
2.0381404598191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800e1 42400k1 3392h1 |
Quadratic twists by: -4 8 5 |