Atkin-Lehner |
2- 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786cd |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3564000 |
Modular degree for the optimal curve |
Δ |
-189557253433193184 = -1 · 25 · 315 · 76 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10650151,-13382163523] |
[a1,a2,a3,a4,a6] |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
0.41785980620031 |
L(r)(E,1)/r! |
Ω |
0.041785978887053 |
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 |
1914p1 |
Quadratic twists by: -7 |