Atkin-Lehner |
3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31365c |
Isogeny class |
Conductor |
31365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
48588305625 = 38 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20070,-1089329] |
[a1,a2,a3,a4,a6] |
Generators |
[203016:3632117:512] |
Generators of the group modulo torsion |
j |
1226451766669921/66650625 |
j-invariant |
L |
5.8582625432458 |
L(r)(E,1)/r! |
Ω |
0.40110965266971 |
Real period |
R |
7.3025698886253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10455b1 |
Quadratic twists by: -3 |