Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300g |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49824 |
Modular degree for the optimal curve |
Δ |
-175678274800 = -1 · 24 · 52 · 7 · 894 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 3 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1025,-23795] |
[a1,a2,a3,a4,a6] |
Generators |
[44228580:211070887:857375] |
Generators of the group modulo torsion |
j |
-297738720000/439195687 |
j-invariant |
L |
7.1416020882677 |
L(r)(E,1)/r! |
Ω |
0.40071676876054 |
Real period |
R |
8.9110347318052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300n1 |
Quadratic twists by: 5 |