Atkin-Lehner |
3+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77469h |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-8859277371 = -1 · 3 · 73 · 172 · 313 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- 0 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-450,5984] |
[a1,a2,a3,a4,a6] |
Generators |
[44:263:1] |
Generators of the group modulo torsion |
j |
-29446377472/25828797 |
j-invariant |
L |
3.1973386156986 |
L(r)(E,1)/r! |
Ω |
1.1908459786221 |
Real period |
R |
0.22374420311386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77469bb1 |
Quadratic twists by: -7 |