Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304p |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
1492679232 = 26 · 33 · 114 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-450,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-132:1] [6:24:1] |
Generators of the group modulo torsion |
j |
157814179264/23323113 |
j-invariant |
L |
8.6337014733151 |
L(r)(E,1)/r! |
Ω |
1.4488101932034 |
Real period |
R |
0.99319445176679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304s1 124608c1 |
Quadratic twists by: -4 8 |