Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555m |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
31752 |
Modular degree for the optimal curve |
Δ |
-3226156171875 = -1 · 33 · 57 · 76 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 5 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3250,113133] |
[a1,a2,a3,a4,a6] |
j |
-32278933504/27421875 |
j-invariant |
L |
5.1047670909214 |
L(r)(E,1)/r! |
Ω |
0.7292524415602 |
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 |
28665bh1 47775cm1 195c1 124215o1 |
Quadratic twists by: -3 5 -7 13 |