Atkin-Lehner |
3+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77469m |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
46519950304515177 = 38 · 77 · 172 · 313 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-190390,30165367] |
[a1,a2,a3,a4,a6] |
j |
6487411372737625/395413053273 |
j-invariant |
L |
2.115973989193 |
L(r)(E,1)/r! |
Ω |
0.35266232299553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067i1 |
Quadratic twists by: -7 |