Atkin-Lehner |
2+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65072c |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-2499805952 = -1 · 28 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ -3 4 7- 3 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343,3430] |
[a1,a2,a3,a4,a6] |
j |
-148176/83 |
j-invariant |
L |
2.6862898603058 |
L(r)(E,1)/r! |
Ω |
1.3431449357395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32536h1 1328c1 |
Quadratic twists by: -4 -7 |