Atkin-Lehner |
2+ 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954z |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9849600 |
Modular degree for the optimal curve |
Δ |
-5.8514750372365E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 0 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12358414,-17123397952] |
[a1,a2,a3,a4,a6] |
j |
-1774286061290599638601/49736717160677376 |
j-invariant |
L |
2.1704757805587 |
L(r)(E,1)/r! |
Ω |
0.040193984141053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346a1 |
Quadratic twists by: -7 |