Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600o |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
10067200 = 28 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-473,3803] |
[a1,a2,a3,a4,a6] |
Generators |
[14:11:1] |
Generators of the group modulo torsion |
j |
1832504320/1573 |
j-invariant |
L |
7.2772381342762 |
L(r)(E,1)/r! |
Ω |
2.2754702634942 |
Real period |
R |
0.79953122778906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200m1 28600j1 |
Quadratic twists by: -4 5 |