Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328r |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
1413275931648 = 210 · 312 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 1 7 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32608,2254832] |
[a1,a2,a3,a4,a6] |
Generators |
[116:216:1] |
Generators of the group modulo torsion |
j |
76421134562500/28166373 |
j-invariant |
L |
8.92568035369 |
L(r)(E,1)/r! |
Ω |
0.83762748101218 |
Real period |
R |
0.44399611581848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656f1 62328a1 |
Quadratic twists by: -4 -7 |