Atkin-Lehner |
2- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300b |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
83160 |
Modular degree for the optimal curve |
Δ |
-4769843750000 = -1 · 24 · 510 · 73 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3542,-67963] |
[a1,a2,a3,a4,a6] |
j |
31443200/30527 |
j-invariant |
L |
0.42040719847273 |
L(r)(E,1)/r! |
Ω |
0.42040720123851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300s1 |
Quadratic twists by: 5 |