Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640i |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-42429027674880 = -1 · 28 · 35 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6615,233037] |
[a1,a2,a3,a4,a6] |
Generators |
[37:726:1] |
Generators of the group modulo torsion |
j |
70575104/93555 |
j-invariant |
L |
6.4155444199612 |
L(r)(E,1)/r! |
Ω |
0.43283405478313 |
Real period |
R |
0.92638627322513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9240x1 |
Quadratic twists by: -11 |