Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736cd |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1919270469312 = 26 · 37 · 72 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3351,-33644] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:126:1] |
Generators of the group modulo torsion |
j |
89194791232/41136627 |
j-invariant |
L |
5.1722520905305 |
L(r)(E,1)/r! |
Ω |
0.65578112228513 |
Real period |
R |
1.9717905555454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736br1 46368v3 30912bc1 |
Quadratic twists by: -4 8 -3 |