Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304b |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-7183792 = -1 · 24 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11+ -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33,118] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [2:14:1] |
Generators of the group modulo torsion |
j |
100352/187 |
j-invariant |
L |
8.273941327461 |
L(r)(E,1)/r! |
Ω |
1.6212708892662 |
Real period |
R |
0.85056126670893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73304g1 |
Quadratic twists by: -7 |