Atkin-Lehner |
3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bu |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-12903515625 = -1 · 3 · 58 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2013,-35358] |
[a1,a2,a3,a4,a6] |
j |
-2309449585/33033 |
j-invariant |
L |
0.71214449632598 |
L(r)(E,1)/r! |
Ω |
0.35607223251256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75075r1 |
Quadratic twists by: 5 |