Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5100d |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-238857645484800 = -1 · 28 · 317 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13013,-933423] |
[a1,a2,a3,a4,a6] |
j |
-38081092648960/37321507107 |
j-invariant |
L |
1.2897046434513 |
L(r)(E,1)/r! |
Ω |
0.21495077390855 |
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 |
20400dd1 81600db1 15300v1 5100s1 |
Quadratic twists by: -4 8 -3 5 |