Atkin-Lehner |
2+ 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786o |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
312099737796 = 22 · 33 · 77 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5954,172320] |
[a1,a2,a3,a4,a6] |
Generators |
[55:95:1] |
Generators of the group modulo torsion |
j |
198461344537/2652804 |
j-invariant |
L |
5.1480823430385 |
L(r)(E,1)/r! |
Ω |
0.97066539451844 |
Real period |
R |
1.3259158029878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398m1 |
Quadratic twists by: -7 |