Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34692i |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-3.0622604163003E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85765157,-305696384790] |
[a1,a2,a3,a4,a6] |
Generators |
[361629113349379234877830634850100384190685602356481147294609733877250:-83621322298474915266472800370058168089336624077790627039160032668706509:6559926268479696618165242708819837429144816287848157515765625000] |
Generators of the group modulo torsion |
j |
-37063647376498477760512/1626799003975971 |
j-invariant |
L |
4.9257759972077 |
L(r)(E,1)/r! |
Ω |
0.024805083491012 |
Real period |
R |
99.289647603738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076y1 4956d1 |
Quadratic twists by: -3 -7 |