Atkin-Lehner |
2- 5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bt |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
5221562500 = 22 · 57 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1005,-11503] |
[a1,a2,a3,a4,a6] |
Generators |
[-9400:15871:512] |
Generators of the group modulo torsion |
j |
7177888089/334180 |
j-invariant |
L |
12.015374536492 |
L(r)(E,1)/r! |
Ω |
0.85043748246651 |
Real period |
R |
7.064231527064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870b1 |
Quadratic twists by: 5 |