Atkin-Lehner |
2+ 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950t |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
855360 |
Modular degree for the optimal curve |
Δ |
1129816064000000000 = 222 · 59 · 13 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-273826,20626548] |
[a1,a2,a3,a4,a6] |
j |
1162560171622949/578465824768 |
j-invariant |
L |
0.48719418836213 |
L(r)(E,1)/r! |
Ω |
0.24359709728272 |
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 |
66950bh1 |
Quadratic twists by: 5 |