Atkin-Lehner |
3- 5+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395j |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
83712 |
Modular degree for the optimal curve |
Δ |
-286969921875 = -1 · 33 · 58 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38351,-2903704] |
[a1,a2,a3,a4,a6] |
j |
-6238283596502892544/286969921875 |
j-invariant |
L |
2.0469370626082 |
L(r)(E,1)/r! |
Ω |
0.17057808855054 |
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 |
94185y1 |
Quadratic twists by: -3 |