Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640s |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
101063586753360 = 24 · 33 · 5 · 74 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61871,5883150] |
[a1,a2,a3,a4,a6] |
Generators |
[106:726:1] |
Generators of the group modulo torsion |
j |
924093773824/3565485 |
j-invariant |
L |
7.4672121000399 |
L(r)(E,1)/r! |
Ω |
0.60055042450909 |
Real period |
R |
1.036162243958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240be1 |
Quadratic twists by: -11 |