Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bu |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1064960 |
Modular degree for the optimal curve |
Δ |
-2254123191318624000 = -1 · 28 · 313 · 53 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11178,-72240969] |
[a1,a2,a3,a4,a6] |
Generators |
[471:4985:1] |
Generators of the group modulo torsion |
j |
-1235686901904629/18032985530548992 |
j-invariant |
L |
8.4653194225697 |
L(r)(E,1)/r! |
Ω |
0.11822117155764 |
Real period |
R |
4.4753613665839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bg1 |
Quadratic twists by: 5 |