Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200dd |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-6954732748800 = -1 · 221 · 33 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5715,209170] |
[a1,a2,a3,a4,a6] |
j |
-7466356035/2515456 |
j-invariant |
L |
2.8201388697386 |
L(r)(E,1)/r! |
Ω |
0.7050347182862 |
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 |
7650a1 61200dp2 61200ei1 |
Quadratic twists by: -4 -3 5 |