Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
106176k |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
15099973365399552 = 220 · 312 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67233,-3151071] |
[a1,a2,a3,a4,a6] |
Generators |
[281:256:1] |
Generators of the group modulo torsion |
j |
128214670515625/57601827108 |
j-invariant |
L |
6.6642905664532 |
L(r)(E,1)/r! |
Ω |
0.30921109831264 |
Real period |
R |
3.5920932394029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176bv1 3318f1 |
Quadratic twists by: -4 8 |