Atkin-Lehner |
2- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15428c |
Isogeny class |
Conductor |
15428 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-636680518163922176 = -1 · 28 · 710 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 3 1 7- 1 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-936487,-350925682] |
[a1,a2,a3,a4,a6] |
j |
-354804407283767026896/2487033274077821 |
j-invariant |
L |
6.1362388967169 |
L(r)(E,1)/r! |
Ω |
0.076702986208961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61712e1 107996d1 |
Quadratic twists by: -4 -7 |