Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cf |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
104832000 |
Modular degree for the optimal curve |
Δ |
-1.2186847355766E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4455576385,114487040720725] |
[a1,a2,a3,a4,a6] |
Generators |
[41595:1058750:1] |
Generators of the group modulo torsion |
j |
-21569462179645467300176896/2687170946044921875 |
j-invariant |
L |
6.8594319881751 |
L(r)(E,1)/r! |
Ω |
0.04675668259763 |
Real period |
R |
0.40303529528336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9240e1 |
Quadratic twists by: -11 |