Atkin-Lehner |
3+ 5+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395d |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-1457092966875 = -1 · 3 · 54 · 7 · 136 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -1 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1821,-64723] |
[a1,a2,a3,a4,a6] |
j |
-668177765761024/1457092966875 |
j-invariant |
L |
1.3688314613699 |
L(r)(E,1)/r! |
Ω |
0.34220786534278 |
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 |
94185ba1 |
Quadratic twists by: -3 |