Atkin-Lehner |
3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48675t |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
3294000 |
Modular degree for the optimal curve |
Δ |
-5780752769961675 = -1 · 35 · 52 · 113 · 595 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- -6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21843448,39287051284] |
[a1,a2,a3,a4,a6] |
j |
-46104923156911008286904320/231230110798467 |
j-invariant |
L |
0.86754768432101 |
L(r)(E,1)/r! |
Ω |
0.28918256163047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
48675j2 |
Quadratic twists by: 5 |