Atkin-Lehner |
2+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510b |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
502550 = 2 · 52 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -5 -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-260,-1550] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] |
Generators of the group modulo torsion |
j |
3682369161/950 |
j-invariant |
L |
2.1934749874517 |
L(r)(E,1)/r! |
Ω |
1.1887339636562 |
Real period |
R |
0.92260970371456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100510d1 |
Quadratic twists by: -23 |