Atkin-Lehner |
2+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
62846a |
Isogeny class |
Conductor |
62846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
532178964640201984 = 28 · 73 · 677 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 4 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-251478,33508200] |
[a1,a2,a3,a4,a6] |
j |
19443408769/5883136 |
j-invariant |
L |
2.1711803700315 |
L(r)(E,1)/r! |
Ω |
0.27139754610016 |
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 |
938c1 |
Quadratic twists by: -67 |