Atkin-Lehner |
2+ 3- 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10974f |
Isogeny class |
Conductor |
10974 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
66000 |
Modular degree for the optimal curve |
Δ |
-97764092411904 = -1 · 225 · 33 · 31 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 -7 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9863,-289252] |
[a1,a2,a3,a4,a6] |
j |
106124121207285623/97764092411904 |
j-invariant |
L |
1.9699657270069 |
L(r)(E,1)/r! |
Ω |
0.32832762116782 |
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 |
87792c1 32922k1 |
Quadratic twists by: -4 -3 |