Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552p |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-860502804037632 = -1 · 215 · 38 · 7 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 1 2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30913,-2513279] |
[a1,a2,a3,a4,a6] |
j |
-99703702853000/26260461549 |
j-invariant |
L |
1.4206328425925 |
L(r)(E,1)/r! |
Ω |
0.17757911747655 |
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 |
111552bh1 55776s1 |
Quadratic twists by: -4 8 |