Atkin-Lehner |
13+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120497b |
Isogeny class |
Conductor |
120497 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1332840182872211 = -1 · 137 · 23 · 314 |
Discriminant |
Eigenvalues |
0 1 1 0 -1 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5295,-1764512] |
[a1,a2,a3,a4,a6] |
Generators |
[1876:81204:1] [27098:1576935:8] |
Generators of the group modulo torsion |
j |
-3402072064/276132779 |
j-invariant |
L |
12.499337177492 |
L(r)(E,1)/r! |
Ω |
0.21284842767715 |
Real period |
R |
3.6702576686162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9269c1 |
Quadratic twists by: 13 |