Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304s |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-4.0774008304856E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2488481,-1795502463] |
[a1,a2,a3,a4,a6] |
j |
-442067613591752/105765793497 |
j-invariant |
L |
0.94960999734227 |
L(r)(E,1)/r! |
Ω |
0.059350685641741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304da1 61152bz1 17472z1 |
Quadratic twists by: -4 8 -7 |