Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180j |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-31454640 = -1 · 24 · 32 · 5 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] [9:39:1] |
Generators of the group modulo torsion |
j |
3364929536/1965915 |
j-invariant |
L |
9.1471993300423 |
L(r)(E,1)/r! |
Ω |
1.2282874140674 |
Real period |
R |
2.482372129216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540r1 |
Quadratic twists by: -3 |