Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10478j |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-1929642394784 = -1 · 25 · 137 · 312 |
Discriminant |
Eigenvalues |
2- 1 -1 3 0 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-426,66884] |
[a1,a2,a3,a4,a6] |
Generators |
[40:318:1] |
Generators of the group modulo torsion |
j |
-1771561/399776 |
j-invariant |
L |
7.8323202870088 |
L(r)(E,1)/r! |
Ω |
0.67781344634492 |
Real period |
R |
0.28888185714094 |
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 |
83824q1 94302s1 806a1 |
Quadratic twists by: -4 -3 13 |