Atkin-Lehner |
3+ 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513a |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
332160 |
Modular degree for the optimal curve |
Δ |
-809492626369539 = -1 · 34 · 74 · 195 · 412 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ 0 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12119,1466072] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:1291:1] |
Generators of the group modulo torsion |
j |
-81991294615552/337148115939 |
j-invariant |
L |
5.8450932727839 |
L(r)(E,1)/r! |
Ω |
0.43817879405003 |
Real period |
R |
1.1116263807051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114513o1 |
Quadratic twists by: -7 |