Atkin-Lehner |
3- 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475t |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
17107200 |
Modular degree for the optimal curve |
Δ |
3.8917459101105E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -3 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9357408,-5597555281] |
[a1,a2,a3,a4,a6] |
Generators |
[511332:41953093:64] |
Generators of the group modulo torsion |
j |
5799231293649229287424/2490717382470703125 |
j-invariant |
L |
17.641627620444 |
L(r)(E,1)/r! |
Ω |
0.089739131297797 |
Real period |
R |
4.9146975547284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24495b1 |
Quadratic twists by: 5 |