Atkin-Lehner |
2+ 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910m |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1915513958400 = -1 · 212 · 3 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3013,-18339] |
[a1,a2,a3,a4,a6] |
Generators |
[55:536:1] |
Generators of the group modulo torsion |
j |
25698491351/16281600 |
j-invariant |
L |
4.9206179063751 |
L(r)(E,1)/r! |
Ω |
0.4777026724092 |
Real period |
R |
2.5751467351059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590f1 |
Quadratic twists by: -7 |