Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400dd |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
78336 |
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] |
Generators |
[7:918:1] |
Generators of the group modulo torsion |
j |
-38081092648960/37321507107 |
j-invariant |
L |
5.5904500257291 |
L(r)(E,1)/r! |
Ω |
0.50701963300392 |
Real period |
R |
0.16214855407332 |
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 |
5100d1 81600fs1 61200fx1 20400cq1 |
Quadratic twists by: -4 8 -3 5 |