Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bc |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
1052180508334289040 = 24 · 316 · 5 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-441908,101693666] |
[a1,a2,a3,a4,a6] |
j |
81120319166611369/8943386754960 |
j-invariant |
L |
4.285659867215 |
L(r)(E,1)/r! |
Ω |
0.26785374042783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130f1 |
Quadratic twists by: -7 |