Atkin-Lehner |
5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96775m |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
330297611328125 = 59 · 73 · 793 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -5 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17675,-231219] |
[a1,a2,a3,a4,a6] |
Generators |
[-990:1971:8] |
Generators of the group modulo torsion |
j |
113943048192/61629875 |
j-invariant |
L |
10.650199677725 |
L(r)(E,1)/r! |
Ω |
0.44123953462743 |
Real period |
R |
2.0114168601544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19355l1 96775l1 |
Quadratic twists by: 5 -7 |