Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5390bd |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-3571409515520 = -1 · 210 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11+ -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-90945] |
[a1,a2,a3,a4,a6] |
Generators |
[265:-4445:1] |
Generators of the group modulo torsion |
j |
-2401/619520 |
j-invariant |
L |
4.9427934379056 |
L(r)(E,1)/r! |
Ω |
0.36125682360647 |
Real period |
R |
0.22803691238092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120cf1 48510m1 26950b1 5390w1 |
Quadratic twists by: -4 -3 5 -7 |