Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760l |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-12862360234800 = -1 · 24 · 318 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4038,141491] |
[a1,a2,a3,a4,a6] |
Generators |
[-9499:31480:343] |
Generators of the group modulo torsion |
j |
624273852416/1102740075 |
j-invariant |
L |
7.287169448972 |
L(r)(E,1)/r! |
Ω |
0.48690654499496 |
Real period |
R |
7.4831294873649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880n1 19920b1 |
Quadratic twists by: -4 -3 |