Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344en |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-139639808 = -1 · 210 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38809,-2929807] |
[a1,a2,a3,a4,a6] |
Generators |
[232:707:1] |
Generators of the group modulo torsion |
j |
-6312949321739008/136367 |
j-invariant |
L |
3.3142224470229 |
L(r)(E,1)/r! |
Ω |
0.17007305494997 |
Real period |
R |
4.8717630262739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998899896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344b1 28336bm1 |
Quadratic twists by: -4 8 |