Atkin-Lehner |
3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20355b |
Isogeny class |
Conductor |
20355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
468165 = 3 · 5 · 232 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 -1 -5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-46,132] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] [0:11:1] |
Generators of the group modulo torsion |
j |
11000295424/468165 |
j-invariant |
L |
2.9481217023246 |
L(r)(E,1)/r! |
Ω |
2.929383780549 |
Real period |
R |
0.50319827021271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61065k1 101775o1 |
Quadratic twists by: -3 5 |