Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645o |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
31944569773331025 = 38 · 52 · 417 |
Discriminant |
Eigenvalues |
1 3- 5- 0 2 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-91089,6189048] |
[a1,a2,a3,a4,a6] |
Generators |
[-257752:5541696:1331] |
Generators of the group modulo torsion |
j |
24137569/9225 |
j-invariant |
L |
8.3633276793536 |
L(r)(E,1)/r! |
Ω |
0.33738113488927 |
Real period |
R |
6.1972401657491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25215e1 1845g1 |
Quadratic twists by: -3 41 |