Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510d |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
-43061900995693440 = -1 · 27 · 317 · 5 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,60123,-8189811] |
[a1,a2,a3,a4,a6] |
Generators |
[8725165:366681854:4913] |
Generators of the group modulo torsion |
j |
24034459157212006439/43061900995693440 |
j-invariant |
L |
2.5020065566588 |
L(r)(E,1)/r! |
Ω |
0.18922351397806 |
Real period |
R |
13.22249282903 |
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 |
52080ce1 19530br1 32550cm1 45570bd1 |
Quadratic twists by: -4 -3 5 -7 |