Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850br |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
54190080 |
Modular degree for the optimal curve |
Δ |
4.4524855665854E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1877464915,-31312260830675] |
[a1,a2,a3,a4,a6] |
j |
145093123151788073549867/882693944377344 |
j-invariant |
L |
2.2935423565912 |
L(r)(E,1)/r! |
Ω |
0.022935423075288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850ho1 80850dl1 |
Quadratic twists by: 5 -7 |