Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328l |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
1938650112 = 210 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 5 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,-23652] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:8:1] |
Generators of the group modulo torsion |
j |
8765311492/38637 |
j-invariant |
L |
4.5188669496475 |
L(r)(E,1)/r! |
Ω |
0.75692543197105 |
Real period |
R |
1.4925073061153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656bm1 62328p1 |
Quadratic twists by: -4 -7 |