Atkin-Lehner |
3+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20085a |
Isogeny class |
Conductor |
20085 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-22948681640625 = -1 · 33 · 511 · 132 · 103 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 6 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3178,239257] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:557:1] |
Generators of the group modulo torsion |
j |
-3551394347236009/22948681640625 |
j-invariant |
L |
4.0171716598345 |
L(r)(E,1)/r! |
Ω |
0.58277290307911 |
Real period |
R |
3.446601273506 |
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 |
60255e1 100425f1 |
Quadratic twists by: -3 5 |