Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850bt |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-54034277343750 = -1 · 2 · 37 · 511 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8667,-468509] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1163:1] |
Generators of the group modulo torsion |
j |
-6321363049/4743750 |
j-invariant |
L |
4.512611342718 |
L(r)(E,1)/r! |
Ω |
0.2395844165681 |
Real period |
R |
2.3543953048937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998643115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950bv1 22770bw1 |
Quadratic twists by: -3 5 |