Atkin-Lehner |
2- 3- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59496f |
Isogeny class |
Conductor |
59496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
244160 |
Modular degree for the optimal curve |
Δ |
-1020475392 = -1 · 211 · 3 · 37 · 672 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 -3 -3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150096,22332192] |
[a1,a2,a3,a4,a6] |
Generators |
[29395:38592:125] |
Generators of the group modulo torsion |
j |
-182601360554975138/498279 |
j-invariant |
L |
9.6520988798437 |
L(r)(E,1)/r! |
Ω |
1.0279029616879 |
Real period |
R |
4.6950438123567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118992c1 |
Quadratic twists by: -4 |