Atkin-Lehner |
3+ 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425h |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
165600 |
Modular degree for the optimal curve |
Δ |
-26693834765625 = -1 · 35 · 58 · 193 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 -4 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13388,640406] |
[a1,a2,a3,a4,a6] |
Generators |
[10:707:1] |
Generators of the group modulo torsion |
j |
-679380091105/68336217 |
j-invariant |
L |
3.6150311180398 |
L(r)(E,1)/r! |
Ω |
0.65145407579585 |
Real period |
R |
0.6165747351197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58425k1 |
Quadratic twists by: 5 |