Atkin-Lehner |
7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21413d |
Isogeny class |
Conductor |
21413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13200 |
Modular degree for the optimal curve |
Δ |
-1182490099 = -1 · 76 · 19 · 232 |
Discriminant |
Eigenvalues |
2 -2 -1 7- 5 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,1649] |
[a1,a2,a3,a4,a6] |
j |
-4096/10051 |
j-invariant |
L |
2.4755896584141 |
L(r)(E,1)/r! |
Ω |
1.237794829207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
437b1 |
Quadratic twists by: -7 |