Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200be |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-1675000000 = -1 · 26 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,19287] |
[a1,a2,a3,a4,a6] |
j |
-10485760/67 |
j-invariant |
L |
6.016065375835 |
L(r)(E,1)/r! |
Ω |
1.5040164683124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200do1 1675d1 107200x1 |
Quadratic twists by: -4 8 5 |