Atkin-Lehner |
5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2405d |
Isogeny class |
Conductor |
2405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608 |
Modular degree for the optimal curve |
Δ |
31265 = 5 · 132 · 37 |
Discriminant |
Eigenvalues |
-1 0 5- 4 4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-652,6566] |
[a1,a2,a3,a4,a6] |
j |
30608488561041/31265 |
j-invariant |
L |
1.5566575409858 |
L(r)(E,1)/r! |
Ω |
3.1133150819716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38480w1 21645j1 12025b1 117845f1 |
Quadratic twists by: -4 -3 5 -7 |