Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101332l |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
549504 |
Modular degree for the optimal curve |
Δ |
-333805037104 = -1 · 24 · 79 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11- -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-295241,61845134] |
[a1,a2,a3,a4,a6] |
Generators |
[14646:210896:27] |
Generators of the group modulo torsion |
j |
-1511983191801856/177331 |
j-invariant |
L |
9.0245750028201 |
L(r)(E,1)/r! |
Ω |
0.74537302394117 |
Real period |
R |
6.0537306227545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14476a1 |
Quadratic twists by: -7 |