Atkin-Lehner |
2- 3+ 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746y |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-1673903088 = -1 · 24 · 32 · 11 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-149,2027] |
[a1,a2,a3,a4,a6] |
j |
-365986170577/1673903088 |
j-invariant |
L |
2.6009891931697 |
L(r)(E,1)/r! |
Ω |
1.3004945965871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95238bp1 |
Quadratic twists by: -3 |