Atkin-Lehner |
2- 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
33180a |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
59662846605600000 = 28 · 32 · 55 · 75 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 -5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125021,-12262455] |
[a1,a2,a3,a4,a6] |
j |
844182073732194304/233057994553125 |
j-invariant |
L |
1.5550527363305 |
L(r)(E,1)/r! |
Ω |
0.2591754560551 |
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 |
99540n1 |
Quadratic twists by: -3 |