Atkin-Lehner |
3+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469b |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
66403095633 = 32 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 6 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1054,-4913] |
[a1,a2,a3,a4,a6] |
j |
1102302937/564417 |
j-invariant |
L |
3.540261477846 |
L(r)(E,1)/r! |
Ω |
0.88506536396489 |
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 |
11067g1 |
Quadratic twists by: -7 |