Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504bv |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-9.481404611973E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-642792,-508532880] |
[a1,a2,a3,a4,a6] |
j |
-4047806261953/13066420224 |
j-invariant |
L |
3.7286688895117 |
L(r)(E,1)/r! |
Ω |
0.077680601695217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438o1 6864k1 |
Quadratic twists by: -4 -11 |