Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632h |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
-598387274496 = -1 · 28 · 37 · 114 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- 2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2076,7724] |
[a1,a2,a3,a4,a6] |
Generators |
[1:99:1] |
Generators of the group modulo torsion |
j |
5301982208/3206379 |
j-invariant |
L |
6.2876290862373 |
L(r)(E,1)/r! |
Ω |
0.56280642369721 |
Real period |
R |
0.69824507893838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57816h1 38544a1 |
Quadratic twists by: -4 -3 |