Atkin-Lehner |
2+ 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450g |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-215275250 = -1 · 2 · 53 · 17 · 373 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 6 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1641,-25722] |
[a1,a2,a3,a4,a6] |
j |
-3906240234749/1722202 |
j-invariant |
L |
2.2504215951276 |
L(r)(E,1)/r! |
Ω |
0.37507026585454 |
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 |
31450s1 |
Quadratic twists by: 5 |