Atkin-Lehner |
3+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77469o |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-5701912734007791 = -1 · 32 · 79 · 17 · 314 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37876,-2253364] |
[a1,a2,a3,a4,a6] |
j |
51077199691727/48465458559 |
j-invariant |
L |
0.46673943603355 |
L(r)(E,1)/r! |
Ω |
0.23336972604026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11067j1 |
Quadratic twists by: -7 |