Atkin-Lehner |
5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
57575c |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
-994878547578125 = -1 · 57 · 78 · 472 |
Discriminant |
Eigenvalues |
1 -1 5+ 7+ -4 -4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,1517125] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:1205:1] [20:-1235:1] |
Generators of the group modulo torsion |
j |
-2401/11045 |
j-invariant |
L |
9.1065105632301 |
L(r)(E,1)/r! |
Ω |
0.39621390009446 |
Real period |
R |
0.95765933513237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515f1 57575d1 |
Quadratic twists by: 5 -7 |