Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600l |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1898208000 = -1 · 28 · 33 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 -5 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,2077] |
[a1,a2,a3,a4,a6] |
Generators |
[12:65:1] |
Generators of the group modulo torsion |
j |
351232/59319 |
j-invariant |
L |
4.667524302996 |
L(r)(E,1)/r! |
Ω |
1.1415413838444 |
Real period |
R |
0.68146519099131 |
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 |
7800x1 62400hx1 46800bu1 15600v1 |
Quadratic twists by: -4 8 -3 5 |