Atkin-Lehner |
2- 5+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bm |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-1518632500000000 = -1 · 28 · 510 · 74 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6237,-1862719] |
[a1,a2,a3,a4,a6] |
Generators |
[1179:39982:1] |
Generators of the group modulo torsion |
j |
2747555975/155507968 |
j-invariant |
L |
14.186839817092 |
L(r)(E,1)/r! |
Ω |
0.22794098331415 |
Real period |
R |
3.8899432474544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88550bd1 |
Quadratic twists by: 5 |