Atkin-Lehner |
2- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320v |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-206110720000 = -1 · 219 · 54 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 5 -2 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1440,-6400] |
[a1,a2,a3,a4,a6] |
Generators |
[5:30:1] |
Generators of the group modulo torsion |
j |
80565593759/50320000 |
j-invariant |
L |
11.331135700583 |
L(r)(E,1)/r! |
Ω |
0.57705082814821 |
Real period |
R |
2.4545358805141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290i1 |
Quadratic twists by: -4 |