Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350f |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-1.4042457858496E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36569792,102459087616] |
[a1,a2,a3,a4,a6] |
j |
-195395722614328041/50730248800000 |
j-invariant |
L |
1.2992473823851 |
L(r)(E,1)/r! |
Ω |
0.081202961395478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470be1 3850s1 |
Quadratic twists by: 5 -11 |