Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760cx |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
9584640 |
Modular degree for the optimal curve |
Δ |
1.5426127126717E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57909627,-168563008854] |
[a1,a2,a3,a4,a6] |
Generators |
[-4673:2170:1] |
Generators of the group modulo torsion |
j |
266394205833287968827/1913399541760000 |
j-invariant |
L |
7.9953045085273 |
L(r)(E,1)/r! |
Ω |
0.054751986534553 |
Real period |
R |
4.5633643928849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970bk1 95760cf1 |
Quadratic twists by: -4 -3 |