Atkin-Lehner |
2+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70664a |
Isogeny class |
Conductor |
70664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-24873728 = -1 · 28 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 11+ 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,365] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:22:1] [4:11:1] |
Generators of the group modulo torsion |
j |
-128000/73 |
j-invariant |
L |
8.9121849408934 |
L(r)(E,1)/r! |
Ω |
1.9711153854489 |
Real period |
R |
0.56517397501576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70664d1 |
Quadratic twists by: -11 |