Atkin-Lehner |
3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725o |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1613458265625 = 32 · 56 · 234 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4601,-103777] |
[a1,a2,a3,a4,a6] |
Generators |
[-861:3217:27] |
Generators of the group modulo torsion |
j |
689167345537/103261329 |
j-invariant |
L |
10.59011866506 |
L(r)(E,1)/r! |
Ω |
0.58551262154792 |
Real period |
R |
4.5217294539893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829e1 |
Quadratic twists by: 5 |