Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352cg |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
378094998528 = 210 · 310 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -4 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8661,-311733] |
[a1,a2,a3,a4,a6] |
j |
70174287855616/369233397 |
j-invariant |
L |
4.9504072432751 |
L(r)(E,1)/r! |
Ω |
0.49504072957725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352f1 23088m1 |
Quadratic twists by: -4 8 |