Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370y |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-8564847200 = -1 · 25 · 52 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 3 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1602,-24671] |
[a1,a2,a3,a4,a6] |
j |
-3862503009/72800 |
j-invariant |
L |
7.5382360537209 |
L(r)(E,1)/r! |
Ω |
0.37691180268604 |
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 |
50960bx1 57330bb1 31850bg1 910g1 |
Quadratic twists by: -4 -3 5 -7 |