Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200by |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1071955456000000 = -1 · 215 · 56 · 115 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26408,2291312] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/16749304 |
j-invariant |
L |
4.5672891595476 |
L(r)(E,1)/r! |
Ω |
0.45672891615175 |
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 |
7150e1 2288j1 |
Quadratic twists by: -4 5 |