Atkin-Lehner |
2+ 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94656o |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-10468196352 = -1 · 218 · 34 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 0 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,543,-927] |
[a1,a2,a3,a4,a6] |
Generators |
[51:396:1] |
Generators of the group modulo torsion |
j |
67419143/39933 |
j-invariant |
L |
7.1139265015181 |
L(r)(E,1)/r! |
Ω |
0.7516373223661 |
Real period |
R |
2.3661433118448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656ce1 1479e1 |
Quadratic twists by: -4 8 |