Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600bi |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-21100176000000 = -1 · 210 · 39 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4725,-182250] |
[a1,a2,a3,a4,a6] |
j |
37044/67 |
j-invariant |
L |
1.4277196658294 |
L(r)(E,1)/r! |
Ω |
0.35692968342175 |
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 |
120600b1 4824a1 |
Quadratic twists by: -3 5 |