Atkin-Lehner |
2+ 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842g |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
189952 |
Modular degree for the optimal curve |
Δ |
-344083601214 = -1 · 2 · 313 · 29 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 6 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44298,3599802] |
[a1,a2,a3,a4,a6] |
j |
-13187244395666593/471993966 |
j-invariant |
L |
3.5919835811003 |
L(r)(E,1)/r! |
Ω |
0.89799589527465 |
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 |
10614r1 |
Quadratic twists by: -3 |