Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520do |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1169012736000 = -1 · 214 · 39 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31968,-2200608] |
[a1,a2,a3,a4,a6] |
Generators |
[377017375491:8719220013363:633839779] |
Generators of the group modulo torsion |
j |
-11203633152/3625 |
j-invariant |
L |
6.573717704256 |
L(r)(E,1)/r! |
Ω |
0.17851810290853 |
Real period |
R |
18.411907804174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520g1 20880bm1 83520du1 |
Quadratic twists by: -4 8 -3 |