Atkin-Lehner |
3- 5+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055j |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3268608 |
Modular degree for the optimal curve |
Δ |
-2.1984885982967E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7259724,-10372413659] |
[a1,a2,a3,a4,a6] |
j |
-42313987768860015917938489/21984885982966762734375 |
j-invariant |
L |
1.4364661297533 |
L(r)(E,1)/r! |
Ω |
0.044889566555365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165r1 |
Quadratic twists by: -3 |